the area of a triangle is 70 cm^2. Its base is 4 cm longer than its height. What are the dimensions of the triangle?

Question

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Answer 1

h=height

h+4=base

A=(1/2)(b)(h)

70=(1/2)(h+4)(h)

140=(h+4)(h)

140=h^2+4h

h^2+4h-140=0

140=2*2*5*7=(2*5)(2*7)=10*14 and 14-10=4

(h+14)(h-10)=0

h-10=0

h=10 cm for the height

h+4=14 cm for the base