Question

A right triangle has a leg A that measures 9 and a hypotenuse C that measures 14. The triangle is aPythagorean triple
(1 point)
True
False
J)
B. Rearrange the steps for the correct explanation to show how you know.
(1 point)
Take the square root of your answer (115) to see if it is a whole number or not.
is 10.7238

115
−−−
√ ≈
 Take the hypotenuse squared and subtract the leg squared. 142 − 92
 Since the missing leg is not a whole number, it is not a Pythagorean triple.
Identify the known parts of the triangle to set up the equation
then rearrange it to solve for the unknown leg.

Answer 1

A. False — the missing leg is sqrt(14^2 − 9^2) = sqrt(115) ≈ 10.7238, not an integer, so this is not a Pythagorean triple.

B. Correct order of steps:
1. Identify the known parts of the triangle to set up the equation then rearrange it to solve for the unknown leg.
2. Take the hypotenuse squared and subtract the leg squared: 14^2 − 9^2 = 196 − 81.
3. Compute the difference: 196 − 81 = 115.
4. Take the square root of your answer (115) to see if it is a whole number: sqrt(115) ≈ 10.7238.
5. Since the missing leg is not a whole number, it is not a Pythagorean triple.