SSAT Upper Level Math : How to find the height of a triangle

Study concepts, example questions & explanations for SSAT Upper Level Math

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Example Questions

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

The side of an equilateral triangle, in feet, is . What is the height of this triangle?

Possible Answers:

Correct answer:

Explanation:

The triangle in question looks like this:

Triangle

The height of a triangle will always cut one of the sides of an equilateral triangle in half. Now, to find the length of the height is just a matter of using the Pythagorean Theorem.

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

The length of a side of an equilateral triangle is  feet. In feet, what is the height of this triangle?

Possible Answers:

Correct answer:

Explanation:

The given equilateral should look similar:

 

Triangle

Because the height of an equilateral triangle always cuts a side length in half, figuring out the height becomes a matter of applying the Pythagorean Theorem.

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

The length of a side of an equilateral triangle is  centimeters. In centimeters, what is the length of the height of this triangle?

Possible Answers:

Correct answer:

Explanation:

Draw out the equilateral triangle:

Triangle

Since the height of an equilateral triangle will always cut one of the sides in half, find the height using the Pythagorean Theorem.

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

The length of a side of an equilateral triangle is . Find the length of the height of this triangle.

Possible Answers:

Correct answer:

Explanation:

Draw out and label the triangle.

Triangle

Even though you are given exponents for the lengths of this triangle, use the Pythagorean Theorem to solve it. The height of an equilateral triangle will always cut one of its bases in half.

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

Find the height of an equilateral triangle that has side lengths of .

Possible Answers:

Correct answer:

Explanation:

Draw out and label the triangle.

Triangle

Since the height of an equilateral triangle will always cut its base in half, use the Pythagorean Theorem to find the height. 

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

Find the height of an equilateral triangle that has a side length of .

Possible Answers:

Correct answer:

Explanation:

Draw and label this triangle:

Triangle

Since the height of an equilateral triangle always cuts its base in half, use the Pythagorean Theorem to find the height of the triangle.

Example Question #6 : How To Find The Height Of A Triangle

Find the height of an equilateral triangle, in yards, that has side lengths of   yards.

Possible Answers:

Correct answer:

Explanation:

Triangle

Since the height of an equilateral triangle cuts the base in half, use the Pythagorean Theorem to find the height.

Example Question #7 : How To Find The Height Of A Triangle

An equilateral triangle has sides of length . Find the measure of the height for this triangle.

Possible Answers:

Correct answer:

Explanation:

Triangle

The height of an equilateral triangle will always cut the side it intersects in half. Now, this is just a matter of applying the Pythagorean Theorem.

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