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
