The area of a particular triangle can be represented by #x^2+3/2x-9/2#. What are its base and height in terms of x?

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Answer 1 · 2017-01-06T08:21:27

The answer is #(2x-3)# and #(x+3)#

The area of a triangle is #=1/2*b*h#

so,

#1/2*b*h=x^2+3/2x-9/2#

#b*h=2x^2+3x-9#

#=(2x-3)(x+3)#

Therefore,

#b=(2x-3)#

#h=(x+3)#

or inversely