Triangles - SSAT Elementary Level Quantitative

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Question

Screen_shot_2014-01-06_at_12.34.19_pm

What is the area of the triangle?

Answer

The formula to find the area of a triangle is .

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Question

An isosceles triangle has a base of 12 cm and a height of 6 cm. What is the area of the triangle?

Answer

To find the area of a triangle, you must multiply by the base (12 cm) by the height (6 cm):

Therefore the area of this triangle is .

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Question

If you have an equilateral triangle and the length of one side is , what is the perimeter?

Answer

An equilateral triangle has three equal sides. To find the perimeter of a triangle, you add up all the sides. Your final answer would then be .

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Question

Find the perimeter of an equilateral triangle with side length 1.

Answer

To solve, simply use the formula for the perimeter of an equilateral triangle. Thus,

Remember, the special property of an equilateral triangle is that all of its sides are the same length so, you can either add the side length 3 times or multiply it by 3.

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Question

Find the perimeter of the triangle shown below:

Screen shot 2015 11 03 at 3.29.15 pm

Answer

The perimeter is the sides added together.

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Question

Use the following to answer the question.

Triangle2

Find the perimeter of the triangle.

Answer

To find the perimeter of a triangle, we will use the following formula:

where a, b, and c are the lengths of the sides of the triangle.

So, in the triangle

Triangle2

we can see the lengths of the sides are 11cm, 12cm, and 6cm. Knowing this, we can substitute into the formula. We get

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Question

Screen_shot_2014-01-10_at_1.07.49_pm

What is the area of the triangle?

Answer

The formula to find the area of a triangle is

First, we should multiply (base) (height), to get a total of .

Next, we need to divide by , which gives us a total area of .

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Question

Why is this shape a triangle?

Screen shot 2015 07 21 at 2.50.59 pm

Answer

A triangle has sides.

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Question

Why is this shape NOT a triangle?

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Answer

A triangle has sides, and this shape has .

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Question

What two shapes can you find in this shape?

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Answer

Screen shot 2015 07 24 at 11.15.16 am

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Question

Find the area of a triangle with base 4 and height 7.

Answer

To solve, simply use the formula for the area of a triangle. Thus,

To remember this formula, simply realize that two triangles added together would leave you with a rectangle, so a triangle's area must be half the area of a rectangle.

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Question

Find the area of the triangle shown below:

Screen shot 2015 11 03 at 3.24.38 pm

Answer

The area of a triangle can be expressed by the formula

,

or base times height divided by 2.

.

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Question

The perimeter of a scalene triangle is 21 mm. Which choice shows the correct side lengths?

Answer

When finding the perimeter of any triangle, you will need to add all three sides. In this case, it is important to note that this is the perimeter of a scalene triangle. A scalene triangle has no congruent/equal sides. The only choice that adds up to 21 mm with no equal sides is:

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Question

Screen_shot_2013-12-21_at_3.13.48_pm

What is the perimeter of the above triangle?

Answer

To find the perimeter of a triangle, add all of its three sides. 5 + 4 + 3 = 12

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Question

Screen_shot_2013-12-24_at_3.59.28_pm

If the blue triangle has three equal sides, what is the triangle's perimeter?

Answer

Since the problem asks about an equilateral triangle (one that has three equal sides), we just need to multiply the given side's length by 3.

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Question

You can find the perimeter of a triangle if you know __________.

Answer

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Question

Screen_shot_2014-01-06_at_12.34.19_pm

What is the perimeter of the above triangle?

Answer

To find the perimeter of a triangle, simply add all three sides together.

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Question

The perimeter of an equilateral triangle is mm. Which choice shows the correct side lengths?

Answer

When finding the perimeter of any triangle, you will need to add all three sides. In this case, it is important to note that this is the perimeter of an equilateral triangle. An equilateral triangle has congruent/equal sides. All the choices add up to mm (except the choice that shows multiplication instead of addition), but only one choice shows equal sides that add up to mm:

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Question

Screen_shot_2014-01-10_at_1.07.49_pm

What is the perimeter of the triangle?

Answer

To find the perimeter of a triangle, simply add all three sides together.

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Question

Find the perimeter of an equilateral triangle whose side length is 6.

Answer

To find perimeter of an equliateral triangle, simply multiply the side length by 3. Thus,

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