Problema Solution
A triangle has an area of 36 square feet. If the height of the triangle is 6 feet more than its base, what are its height and base?
Answer provided by our tutors
Let
b = base
h = height
A = 36 ft^2 the area
A = (1/2)bh
Since the height of the triangle is 6 feet more than its base we have:
h = b + 6
A = (1/2)b(b + 6)
(1/2)b(b + 6) = 36
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click here to see the equation solved for b
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b = 6 ft
h = 6 + 6
h = 12 ft
The height is 12 feet while the base is 6 feet.