Back to Exercise: Pythagorean theorem and common triples

Pythagorean Theorem and Common Triples

Grade 10·21 problems·~35 min·Digital SAT Math·topic·sat-geotrig-rt-pythag

Work through problems with immediate feedback

A

Recall / Warm-Up

1

In the right triangle below, which side is the hypotenuse?

A.

Side $a$ (from $B$ to $C$ )

B.

Side $b$ (from $A$ to $C$ )

C.

Side $c$ (from $A$ to $B$ )

D.

The side adjacent to the largest angle

2

What is the value of $\\sqrt{144}$ ?

3

A right triangle has legs $a = 3$ and $b = 4$ . Which equation correctly finds the hypotenuse $c$ ?

A.

$c = 3 + 4 = 7$

B.

$c = \\sqrt{3^2 + 4^2} = 5$

C.

$c = 3^2 + 4^2 = 25$

D.

$c = \\sqrt{3 + 4} = \\sqrt{7}$

B

Fluency Practice

1

A right triangle has legs of length 5 and 12. What is the length of the hypotenuse?

2

A right triangle has a hypotenuse of 17 and one leg of length 8. What is the length of the other leg $b$ ?

3

A right triangle has legs of length 9 and 40. What is the length of the hypotenuse?

4

A right triangle has a hypotenuse of 10 and one leg of length 6. Recognize the Pythagorean triple involved and find the missing leg.

5

Which set of side lengths forms a Pythagorean triple (a right triangle with all integer sides)?

A.

$3, 4, 6$

B.

$5, 12, 14$

C.

$8, 15, 17$

D.

$7, 24, 26$

You're viewing 2 of 6 sections.

Create a free account to continue the full exercise set and save your progress.

Create free account

0 of 8 answered

Answer all problems to submit.

Was this practice set helpful?

Report a problem with this page

Questions or problems?

We read every message. Contact us →

How it works Report a problem Privacy Terms

© 2026 K12worX