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Back to Exercise: Pythagorean theorem

Pythagorean Theorem

Grade 10·23 problems·~30 min·ACT Math·topic·act-geo-tri-pythag
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A

Recall / Warm-Up

1

What is 144\sqrt{144}?

A.

11

B.

12

C.

14

D.

72

2

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

A.

The base

B.

The height

C.

The hypotenuse

D.

It depends on the triangle

3

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

A.

48

B.

100

C.

14

D.

196

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?

A.

8

B.

12

C.

194\sqrt{194}

D.

18

3

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

A.

74\sqrt{74}

B.

24\sqrt{24}

C.

74

D.

12

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?

A.

4, 5, 6

B.

6, 8, 10

C.

5, 10, 15

D.

9, 12, 16

6

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

A.

Right

B.

Acute

C.

Obtuse

D.

Not a valid triangle

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