Base of the triangle = 32 ft
Altitude (h) of the triangle = 24 ft
What is the Area of a Triangle?
- Area of Triangle = 1/2bh
- b = base
- h = height (altitude)
Thus:
Let x represent the altitude (h)
base = x + 8
Area = 384 sq. ft.
Therefore:
1/2(x + 8)(x) = 384
x² + 8x = 768
x² + 8x - 768 = 0
Factorize
x = 24 or x = −32
Use x = 24
Thus, plug in the value of x
Base of the triangle = 24 + 8 = 32 ft
Altitude (h) of the triangle = x = 24 ft
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