The height of a triangle is 7 cm longer than its base.

the area of the triangle is 60 cm².

what is the base of the triangle?

enter your answer in the box.

cm

A) Height -7 = base
B) .5 * height * base = 60
Substituting A into B
B) .5 * height * (height -7) = 60
B)  .5*height^2  -3.5*height = 60
B)  .5*height^2 -3.5*height -60 = 0
Using the quadratic formula:
Height = 15
Subtracting 7 gives us the base length
Base = 8

Double-Check
.5 * 15 * 8 = 60

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