ISEE Lower Level Math : How to find the area of a triangle

Study concepts, example questions & explanations for ISEE Lower Level Math

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Example Questions

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Example Question #1 : How To Find The Area Of A Triangle

The base of triangle ABC is \dpi{100} 6\ cm, it's height \dpi{100} 12\ cm. What is the triangle's area?

Possible Answers:

\dpi{100} 36\ cm^{2}

\dpi{100} 72\ cm^{2}

\dpi{100} 18\ cm^{2}

\dpi{100} 30\ cm^{2}

Correct answer:

\dpi{100} 36\ cm^{2}

Explanation:

\dpi{100} Area=\frac{1}{2}\ base\times height

Example Question #2 : How To Find The Area Of A Triangle

What is the area of a triangle that has a base of  and a height of 

Possible Answers:

Correct answer:

Explanation:

In order to find the area of a triangle, we must use the formula

So the first thing we must do is multiply the base and height.

The next thing we must do is find  of  through multiplication.

 

 

 

Example Question #3 : How To Find The Area Of A Triangle

Find the area of the triangle:

Question_12

Possible Answers:

Correct answer:

Explanation:

Example Question #4 : How To Find The Area Of A Triangle

A triangle has an area of 36 in.2. if its base is 6 in., what is its height?

Possible Answers:

Correct answer:

Explanation:

To find the height of the triangle, you must need to plug in what you know (the area and the base of the triangle) into the formula to find the area of the triangle:

Now that you plugged in the area and the base into the formula to find the area of a triangle, you can solve for the height:

Multiply both sides by 2 (the reciprocal of 1/2) to get rid of the fraction

 

Divide both sides by 6 to find the height

Remember that  is the same as

Example Question #5 : How To Find The Area Of A Triangle

A triangle has a base that is 8 cm. and a height that is 12 cm. What is the area of this triangle?

Possible Answers:

Correct answer:

Explanation:

To find the area of the triangle, we need to plug in what we know (the base and the height) into the formula to find the area of the triangle:

We can know solve for

Example Question #301 : Geometry

Find the height of the triangle.

If the base of a triangle is  and the area is , what is the height of the triangle?

Possible Answers:

Correct answer:

Explanation:

Area of a triangle is

Set up the equation, then solve:

 

so 

Example Question #302 : Geometry

A triangle has a base of 7 and a height of 4. What is the area of the triangle?

 

Possible Answers:

None of these

Correct answer:

Explanation:

The area of a triangle is found by multiplying the base times the height, divided by 2. 

Plugging in the appropriate values for this equation gives us:

This reduces to:

This is equal to 14, the correct answer. 

Example Question #303 : Geometry

A triangle has a base of 8 inches and a height of 4 inches. What is the area in square inches?

Possible Answers:

Correct answer:

Explanation:

The area of a triangle can be calculated using this formula:

When inputting the base and height information, the equation looks like this:

Example Question #304 : Geometry

The area of a triangle is 12 square inches. It has a height of 4 inches. What is the triangle's base, in inches?

Possible Answers:

Correct answer:

Explanation:

The area of a triangle is:

Given that the area is 12 and the base is 4, this gives us:

This reduces to:

Example Question #305 : Geometry

If a triangle has a base of 1 foot, and a height of half a foot, what is the area in square inches?

Possible Answers:

Correct answer:

Explanation:

The area of a triangle is found by multiplying the base times the height, divided by 2. 

Since we are looking for the area in inches, we must convert the base and height to inches, from feet.

This gives us a base of 6 inches and a height of 12 inches. Plug these values into the area equation and solve.

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