# The area of a particular triangle can be represented by

The area of a particular triangle can be represented by ${x}^{2}+\frac{3}{2}x-\frac{9}{2}$.
What are its base and height in terms of x?
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hotlegsaprile2u
The area of a triangle is $=\frac{1}{2}\cdot b\cdot h$
so,
$\frac{1}{2}\cdot b\cdot h={x}^{2}+\frac{3}{2}x-\frac{9}{2}$
$b\cdot h=2{x}^{2}+3x-9$
=(2x-3)(x+3)
Therefore,
b=(2x-3)
h=(x+3)
or inversely
The answer is (2x-3) and (x+3)