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Tems11 [23]
3 years ago
15

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

Mathematics
1 answer:
katrin [286]3 years ago
6 0
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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