Problema Solution
a banner has an area of 150 square inches. the altitude of the triangle is 3 times the base. find the measurements of the base and altitude
Answer provided by our tutors
A = 150 in^2 the area
b = the bade
h = the altitude
Since the altitude is 3 times the base we have:
h = 3b
The area of the triangle is:
A = (1/2)bh
Plug h = 3b into A = (1/2)bh
A = (1/2)b*3b
Since A = 150 in^2 we can write:
(1/2)b*3b = 150
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click here to see the equation solved for b
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b = 10 in
h = 3*10
h = 30 in
The base is 10 inches while the altitude is 30 inches long.