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Lera25 [3.4K]
3 years ago
10

The height of a triangle is 3cm less than the length of its base and is area is 27m,find the height

Mathematics
1 answer:
Shkiper50 [21]3 years ago
6 0
Area of a triangle=bh/2

27= x(x-3)/2
27= (x^2-3x)/2
54= x^2-3x
x^2-3x-54=0
(x-9)(x+6)=0

x=9, x=-6.
In this case, x must equal 9 since the base cannot be a negative number.

Final answer: Height=6 m
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