Answer:
h = 170 ft
Step-by-step explanation:
Let A represent the area, b the base and h the height of this triangle. The area formula is
A = (1/2)(b)(h).
Here A = 6000 ft^2 = (1/2)(80 ft)(h).
Solve this for the height, (h):
6000 ft^2 = (40 ft)(h), or
6000 ft^2
h = ---------------- = 150 ft
40 ft
Now we know the leg lengths: 150 ft and 80 ft.
Use the Pythagorean Theorem to find the length of the hypotenuse:
h^2 = 80^2 + 150^2, or
h^2 = 6400 +22500 = 28900
Taking the square root of this figure, we get the length of the hypotenuse:
h = 170 ft
