Triangle Area - ISEE Lower Level: Mathematics Achievement
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What is the area of a triangle with base $b=14$ and height $h=14$?
What is the area of a triangle with base $b=14$ and height $h=14$?
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$98$. Apply the formula $A=\frac{1}{2}bh$ by multiplying base and height, then dividing by 2.
$98$. Apply the formula $A=\frac{1}{2}bh$ by multiplying base and height, then dividing by 2.
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Identify the missing value: $A=24$ and $b=8$. What is the height $h$?
Identify the missing value: $A=24$ and $b=8$. What is the height $h$?
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$6$. Rearrange $A=\frac{1}{2}bh$ to solve for height by multiplying area by 2 and dividing by base.
$6$. Rearrange $A=\frac{1}{2}bh$ to solve for height by multiplying area by 2 and dividing by base.
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Identify the missing value: $A=45$ and $h=9$. What is the base $b$?
Identify the missing value: $A=45$ and $h=9$. What is the base $b$?
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$10$. Rearrange $A=\frac{1}{2}bh$ to solve for base by multiplying area by 2 and dividing by height.
$10$. Rearrange $A=\frac{1}{2}bh$ to solve for base by multiplying area by 2 and dividing by height.
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Which expression correctly gives the base $b$ in terms of area $A$ and height $h$?
Which expression correctly gives the base $b$ in terms of area $A$ and height $h$?
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$b=\frac{2A}{h}$. Solving the area formula for base yields this expression by isolating $b$.
$b=\frac{2A}{h}$. Solving the area formula for base yields this expression by isolating $b$.
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What happens to the area if the base stays the same and the height is doubled?
What happens to the area if the base stays the same and the height is doubled?
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Area doubles. Since area is directly proportional to height when base is fixed, doubling height doubles the area.
Area doubles. Since area is directly proportional to height when base is fixed, doubling height doubles the area.
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What happens to the area if both base and height are tripled?
What happens to the area if both base and height are tripled?
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Area becomes $9$ times as large. Area scales with the product of base and height, so tripling both multiplies area by $3\times^3=9$.
Area becomes $9$ times as large. Area scales with the product of base and height, so tripling both multiplies area by $3\times^3=9$.
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Find and correct the formula error: $A=bh$ for a triangle with base $b$ and height $h$.
Find and correct the formula error: $A=bh$ for a triangle with base $b$ and height $h$.
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Correct: $A=\frac{1}{2}bh$. The given formula omits the factor of $\frac{1}{2}$, which accounts for the triangular shape.
Correct: $A=\frac{1}{2}bh$. The given formula omits the factor of $\frac{1}{2}$, which accounts for the triangular shape.
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What is the area of a triangle with base $b=20$ and height $h=12$?
What is the area of a triangle with base $b=20$ and height $h=12$?
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$120$. Apply the formula $A=\frac{1}{2}bh$ by multiplying base and height, then dividing by 2.
$120$. Apply the formula $A=\frac{1}{2}bh$ by multiplying base and height, then dividing by 2.
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What is the area of a right triangle with legs $6$ and $8$ (use them as $b$ and $h$)?
What is the area of a right triangle with legs $6$ and $8$ (use them as $b$ and $h$)?
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$24$. For a right triangle, the legs serve as base and height in the area formula $A=\frac{1}{2}bh$.
$24$. For a right triangle, the legs serve as base and height in the area formula $A=\frac{1}{2}bh$.
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Identify the missing value: $A=63$ and $b=14$. What is the height $h$?
Identify the missing value: $A=63$ and $b=14$. What is the height $h$?
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$9$. Rearrange $A=\frac{1}{2}bh$ to solve for height by multiplying area by 2 and dividing by base.
$9$. Rearrange $A=\frac{1}{2}bh$ to solve for height by multiplying area by 2 and dividing by base.
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Identify the missing value: $A=30$ and $h=5$. What is the base $b$?
Identify the missing value: $A=30$ and $h=5$. What is the base $b$?
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$12$. Rearrange $A=\frac{1}{2}bh$ to solve for base by multiplying area by 2 and dividing by height.
$12$. Rearrange $A=\frac{1}{2}bh$ to solve for base by multiplying area by 2 and dividing by height.
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Identify the missing value: $A=56$ and $b=16$. What is the height $h$?
Identify the missing value: $A=56$ and $b=16$. What is the height $h$?
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$7$. Rearrange $A=\frac{1}{2}bh$ to solve for height by multiplying area by 2 and dividing by base.
$7$. Rearrange $A=\frac{1}{2}bh$ to solve for height by multiplying area by 2 and dividing by base.
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Identify the missing value: $A=27$ and $h=6$. What is the base $b$?
Identify the missing value: $A=27$ and $h=6$. What is the base $b$?
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$9$. Rearrange $A=\frac{1}{2}bh$ to solve for base by multiplying area by 2 and dividing by height.
$9$. Rearrange $A=\frac{1}{2}bh$ to solve for base by multiplying area by 2 and dividing by height.
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Which expression correctly gives the height $h$ in terms of area $A$ and base $b$?
Which expression correctly gives the height $h$ in terms of area $A$ and base $b$?
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$h=\frac{2A}{b}$. Solving the area formula for height yields this expression by isolating $h$.
$h=\frac{2A}{b}$. Solving the area formula for height yields this expression by isolating $h$.
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State the formula for the area of a triangle using base $b$ and height $h$.
State the formula for the area of a triangle using base $b$ and height $h$.
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$A=\frac{1}{2}bh$. The area of a triangle is half the product of its base and perpendicular height.
$A=\frac{1}{2}bh$. The area of a triangle is half the product of its base and perpendicular height.
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What is the area of a triangle with base $b=10$ and height $h=6$?
What is the area of a triangle with base $b=10$ and height $h=6$?
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$30$. Apply the formula $A=\frac{1}{2}bh$ by multiplying base and height, then dividing by 2.
$30$. Apply the formula $A=\frac{1}{2}bh$ by multiplying base and height, then dividing by 2.
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What is the area of a triangle with base $b=9$ and height $h=8$?
What is the area of a triangle with base $b=9$ and height $h=8$?
Tap to reveal answer
$36$. Apply the formula $A=\frac{1}{2}bh$ by multiplying base and height, then dividing by 2.
$36$. Apply the formula $A=\frac{1}{2}bh$ by multiplying base and height, then dividing by 2.
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What is the area of a triangle with base $b=12$ and height $h=5$?
What is the area of a triangle with base $b=12$ and height $h=5$?
Tap to reveal answer
$30$. Apply the formula $A=\frac{1}{2}bh$ by multiplying base and height, then dividing by 2.
$30$. Apply the formula $A=\frac{1}{2}bh$ by multiplying base and height, then dividing by 2.
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What is the area of a triangle with base $b=7$ and height $h=4$?
What is the area of a triangle with base $b=7$ and height $h=4$?
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$14$. Apply the formula $A=\frac{1}{2}bh$ by multiplying base and height, then dividing by 2.
$14$. Apply the formula $A=\frac{1}{2}bh$ by multiplying base and height, then dividing by 2.
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What is the area of a triangle with base $b=15$ and height $h=2$?
What is the area of a triangle with base $b=15$ and height $h=2$?
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$15$. Apply the formula $A=\frac{1}{2}bh$ by multiplying base and height, then dividing by 2.
$15$. Apply the formula $A=\frac{1}{2}bh$ by multiplying base and height, then dividing by 2.
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What is the area of a triangle with base $b=13$ and height $h=10$?
What is the area of a triangle with base $b=13$ and height $h=10$?
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$65$. Apply the formula $A=\frac{1}{2}bh$ by multiplying base and height, then dividing by 2.
$65$. Apply the formula $A=\frac{1}{2}bh$ by multiplying base and height, then dividing by 2.
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What is the area of a triangle with base $b=18$ and height $h=3$?
What is the area of a triangle with base $b=18$ and height $h=3$?
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$27$. Apply the formula $A=\frac{1}{2}bh$ by multiplying base and height, then dividing by 2.
$27$. Apply the formula $A=\frac{1}{2}bh$ by multiplying base and height, then dividing by 2.
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What is the area of a triangle with base $b=4$ and height $h=11$?
What is the area of a triangle with base $b=4$ and height $h=11$?
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$22$. Apply the formula $A=\frac{1}{2}bh$ by multiplying base and height, then dividing by 2.
$22$. Apply the formula $A=\frac{1}{2}bh$ by multiplying base and height, then dividing by 2.
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What is the area of a triangle with base $b=16$ and height $h=9$?
What is the area of a triangle with base $b=16$ and height $h=9$?
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$72$. Apply the formula $A=\frac{1}{2}bh$ by multiplying base and height, then dividing by 2.
$72$. Apply the formula $A=\frac{1}{2}bh$ by multiplying base and height, then dividing by 2.
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What is the area of a triangle with base $b=25$ and height $h=8$?
What is the area of a triangle with base $b=25$ and height $h=8$?
Tap to reveal answer
$100$. Apply the formula $A=\frac{1}{2}bh$ by multiplying base and height, then dividing by 2.
$100$. Apply the formula $A=\frac{1}{2}bh$ by multiplying base and height, then dividing by 2.
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