SSAT Upper Level Math : How to find the length of the hypotenuse of a right triangle : Pythagorean Theorem

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

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Example Questions

Example Question #26 : Properties Of Triangles

The base and height of a right triangle are each 1 inch. What is the hypotenuse?

Possible Answers:

Correct answer:

Explanation:

You need to use the Pythagorean Theorem, which is .

Add the first two values and you get . Take the square root of both sides and you get .

Example Question #1 : Apply The Pythagorean Theorem To Find The Distance Between Two Points In A Coordinate System: Ccss.Math.Content.8.G.B.8

Parallelogram2

Give the perimeter of the above parallelogram if .

Possible Answers:

Correct answer:

Explanation:

By the  Theorem:

, and

The perimeter of the parallelogram is

Example Question #27 : Properties Of Triangles

A right triangle has legs with lengths of  units and  units. What is the length of the hypotenuse?

Possible Answers:

 units

 units

 units

 units

Correct answer:

 units

Explanation:

Using the numbers given to us by the question,

 units

Example Question #1 : Apply The Pythagorean Theorem To Determine Unknown Side Lengths In Right Triangles: Ccss.Math.Content.8.G.B.7

A right triangle has legs with the lengths  and . Find the length of the hypotenuse.

Possible Answers:

Correct answer:

Explanation:

Use the Pythagorean Theorem to find the length of the hypotenuse.

Example Question #2 : Apply The Pythagorean Theorem To Determine Unknown Side Lengths In Right Triangles: Ccss.Math.Content.8.G.B.7

Find the length of the hypotenuse in the right triangle below.

12

Possible Answers:

Correct answer:

Explanation:

Use the Pythagorean Theorem to find the hypotenuse.

Example Question #1 : How To Find The Length Of The Hypotenuse Of A Right Triangle : Pythagorean Theorem

If James traveled north  and John traveled  west from the same town, how many miles away will they be from each other when they reach their destinations?

Possible Answers:

Correct answer:

Explanation:

The distances when put together create a right triangle.  

The distance between them will be the hypotenuse or the diagonal side.  

You use Pythagorean Theorem or  to find the length.  

So you plug  and  for  and  which gives you,

  or .  

Then you find the square root of each side and that gives you your answer of .

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