Problema Solution
The length of the base of a triangle is 1 cm less than five times the height of the triangle. The area of the triangle is 21 square cm. Find the HEIGHT AND THE LENGTH of the triangle.
Answer provided by our tutors
Let
x = the height of the triangle, x>0
5x - 1 = the length of the base
A = 21 cm^2 the area
A = (1/2)(height*length)
A = (1/2)x(5x - 1)
(1/2)x(5x - 1) = 21
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click here to see the equation solved for x
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x = 3 cm
5*3 - 1 = 14 cm
The height is 3 cm while the length is 14 cm.