Problema Solution
A triangle has an area of 20 cm2.The height of the triangle is three cm longer than the base. Find the height and base of the triangle.
Answer provided by our tutors
let
h = the height, h>0
b = the base, b>0
A =20 cm^2 the area
the formula for the area is:
A = (1/2)b*h
(1/2)bh = 20 multiply both sides by 2
bh =40
The height of the triangle is three cm longer than the base
h = b + 3
plug h = b + 3 into bh = 40
b(b + 3) = 40
by solving we find
b = 5 cm
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h = 5 + 3
h = 8 cm
the height is 8 cm and the base is 5 cm.