IXL - Pythagorean theorem (Geometry practice)

What is the length of the missing leg? If necessary, round to the nearest tenth.

miles

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Learn with an example

question

What is the perimeter? If necessary, round to the nearest tenth.

miles

key idea

In a right triangle,

where

and

are the lengths of the legs and

is the length of the hypotenuse. This is called the Pythagorean theorem.

solution

Use the Pythagorean theorem, with

and

Pythagorean theorem

Plug in

and

Plug in

and

1,936

1,089

Square

3,025

Add

3,025

Take the square root of both sides

Simplify

The length of the hypotenuse is 55 miles.

Find the perimeter. Add the lengths of the two sides and the hypotenuse.

132

The perimeter is 132 miles.

Looking for more? Try these:

Lesson: The Pythagorean theorem

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Work it out

Not feeling ready yet? These can help:

E.1Square roots of perfect squares

C.7Solve one-step linear equations

S.1Perimeter

Lesson: The Pythagorean theorem

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