A right triangle with the vertical leg labeled a, horizontal leg labeled b, and hypotenuse labeled c

Given is a right triangle with side lengths a, b, and c. The Pythagorean triple (9,12,15) represents the side lengths of the given right triangle. Which of the following is the correct value of a?

(1 point)
Responses

a=9
a equals 9

a=15
a equals 15

a=12
a equals 12

a=81

1 answer

In the given Pythagorean triple (9, 12, 15), the sides can be assigned as follows:

  • Let the vertical leg \( a = 9 \)
  • Let the horizontal leg \( b = 12 \)
  • Let the hypotenuse \( c = 15 \)

Thus, the correct value of \( a \) is:

a = 9