(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

If the height of a triangle is five centimeters less than the length of its base and if the area of the triangle is 52 cm^2, find the base and the height.

2. Relevant equations

N/A

3. The attempt at a solution

height = h-5

base = h

A=(bh)/2

52=(h(h-5)/2

52=(h^2-5h)/2

104=h^2-5h

h^2-5h-104=0

(h-13)(h+8)=0

h=13 or h=-8

h=-8 is extraneous; therefore the base is 13 and the height is 8.

This is Grade 9 review and I don't think my teacher would include a problem using the quadratic equation. Is there an easier solution to this problem?

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# Homework Help: Area of a Triangle Word Problem

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