Question

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

Answer 1

l

Explanation:

Answer 2

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
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Double-Check
.5 * 15 * 8 = 60