Problema Solution
The base of a triangle is 7
cm greater than the height. The area is 39
cmsquared
.
Find the height and the length of the base.
Answer provided by our tutors
Let
h = the the length of the height, a>0
b = the length of the base, h>0
A = 18 cm^2 the area
the base of a triangle is 7 cm greater than the height:
b = h + 5
The area is calculated by the formula: A = (1/2)b*h or
(1/2)bh = 39 multiply both sides by 2
bh = 78
plug b = h + 5 into the equation:
(h + 5)h = 78
........
click here to see the quadratic equation solved for h
........
h = 6.68 cm
6.68 + 5 = 11.68 cm
The height is 6.68 cm.
The length of the base is 11.68 cm.