Answer:
Option D, leg = 10 feet, leg = 24 feet
Step-by-step explanation:
Step 1: Use Pythagorean theorem
a^2 + b^2 = c^2
(14 + x)^2 + x^2 = (26)^2
196 + 28x + x^2 + x^2 - 676 = 676 - 676
2x^2 + 28x - 480
2(x - 10)(x + 24)
x - 10 + 10 = 0 + 10 and x + 24 - 24 = 0 - 24
x = 10 one leg
x + 14 = 24 another leg
Answer: Option D, leg = 10 feet, leg = 24 feet
