Answer:
Length of Shorter leg = 27 feet
Length of Longer leg = 36 feet
Length of Hypotenuse = 45 feet
Step-by-step explanation:
Given:
Let,
     Length of Shorter leg = x,
According to the given condition we have
∴  Length of Longer leg = x + 9 feet
∴  Length of Hypotenuse = 2x - 9 feet
 To Find:
Length of Shorter leg = ?
Solution:
Now In Right Angle Triangle, By Pythagoras theorem we have

substituting the given values we get

By using Identity (A ± B)² = A² ± 2AB +B²  we get

Substituting x=27 we get
∴  Length of Longer leg = x + 9 =27 +9 = 36 feet
∴  Length of Hypotenuse = 2x - 9 = 2×27 -9 = 45 feet