Problema Solution
the length of the basepf a triangle is 1 more than twice it's height. the aera of the triangle is 18 in^2. what is the lenght of the base of the triangle
Answer provided by our tutors
Let
b = the length of the base, b > 0
h = the length of the height, h > 0
A = 18 in^2 is the area
b = 1 + 2h
The formula for the area of a triangle is A = (1/2)bh:
(1/2)bh = 18
Plug b = 1 + 2h into (1/2)bh = 18:
(1/2)(1 + 2h)h = 18
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click here to see the equation solved for h
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h = 4 in
b = 1 + 2*4
b = 9 in
The length of the base is 9 inches.