Back to Exercise: Pythagorean theorem

Pythagorean Theorem

Grade 10·23 problems·~30 min·ACT Math·topic·act-geo-tri-pythag
Work through problems with immediate feedback
A

Recall / Warm-Up

1

What is 144\sqrt{144}?

2

In a right triangle, which side is always the longest?

3

Evaluate: 62+826^2 + 8^2.

B

Fluency Practice

1

A right triangle has legs of length 9 and 12. What is the length of the hypotenuse?

2

A right triangle has a hypotenuse of 13 and one leg of 5. What is the other leg?

3

A right triangle has legs of length 5 and 7. What is the length of the hypotenuse?

4

Two sides of a right triangle are 20 and 48. If 48 is not the hypotenuse, what is the length of the hypotenuse?

5

Which of the following is a Pythagorean triple?

6

A triangle has side lengths 7, 10, and 12. What type of triangle is it?

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