Problema Solution
The base of the triangle is 3cm greater than the height. The area is 14cm^2. Find the height and base of the triangle.
Answer provided by our tutors
let
a = the base of the triangle, a>0
h = the height of the triangle, h>0
the base of the triangle is 3cm greater than the height
a = 3 + h
the area is 14 cm^2 and the formula for area is A = (1/2)a*h thus we have
(1/2)a*h = 14
plug a = 3 + h into the last equation
(1/2)(3 + h)*h = 14
by solving we find
h = 4 cm
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a = 4 + 3
a = 7 cm
the base is 7 cm and the height is 4 cm.