Pythagorean Theorem and Common Triples

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

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Recall / Warm-Up

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

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

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

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

The side adjacent to the largest angle

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

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

$c = 3 + 4 = 7$

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

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

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

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

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

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

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

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

$3, 4, 6$

$5, 12, 14$

$8, 15, 17$

$7, 24, 26$

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