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 Math Central Quandaries & Queries
 Question from Troy: The base and the height of a right triangle are represented by the expressions below. The area of the triangle is 28 square units. Find the lengths of the base and the height of the triangle base= x+4 height=x-6

Hi Troy,

The area of a triangle is given by

$\mbox{ area } = \frac12 \mbox{ base } \times \mbox{ height.}$

You know that the area i 28 square units so this gives you an equation in $x.$ expand, simplify, and then solve for $x.$

Penny

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