Pythagorean Theorem Application

Find the missing side of this triangle.

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The Pythagorean Theorem can be applied to every triangle.

• True

• False

• True

• False

Find the missing side of this triangle.

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What is the hypotenuse of a triangle with legs that are both 4 inches?

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Your friend is standing on a platform that's 9 feet tall. You are standing 12 feet away from the platform. You and your friend each want to hold one end of a banner. How long does the banner have to be?

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The longest side of a right triangle is called the ________.

• leg

• hypotenuse

• right angle

• root

Use the information given in the figure to find the length EH. If applicable, round answer to the nearest whole number.

The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach? 

• 12 feet

• 13.5 feet

• 13 feet

• 11.6 feet

Lightning struck a tree, causing it to break and crash to the ground. The tree broke off 12 feet above the ground and the broken part was 20 feet long. If the broken tree formed a right triangle, how far away is the tip of the fallen tree?