Question

PLZZZZ HELP! WILL GIVE BRAINLIEST:Use the Pythagorean theorem to solve this, must show work.

Answer 1

9514 1404 393

Answer:

  ? = √87 ≈ 9.33

Step-by-step explanation:

The square of the hypotenuse (h) of the small triangle is the sum of the squares of its legs.

  h^2 = 5^2 + 12^2 = 25 +144 = 169

The square of the hypotenuse of the large triangle is also the sum of the squares of its legs.

  h^2 +?^2 = 16^2

  169 +?^2 = 256

  ?^2 = 256 -169 = 87

Taking the square root, we find the missing leg length to be ...

  ? = √87 ≈ 9.33