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Understanding the Pythagorean Theorem

Solve each of these problems.

Question 1

Short answer

A right triangle has one leg that measures 6 units and a hypotenuse that measures 10 units. What is the length of the other leg?

Question 2

Short answer

If a right triangle has legs of lengths 8 units and 15 units, what is the length of the hypotenuse?

Question 3

Short answer

The lengths of the legs of a right triangle are represented by x and y, and the length of the hypotenuse is represented by z. Write the Pythagorean Theorem using these variables.

Question 4

Short answer

A ladder is leaning against a wall, reaching a height of 12 feet. If the base of the ladder is 5 feet away from the wall, how long is the ladder?

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