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Chapter 10: Q 10.77 (page 1200)

Find the dimensions of a triangle whose width is four more than six times its height and has an area of 208 square inches.

Short Answer

Expert verified

Therefore, the Dimension of a triangle ,width is 52inchesand Height is 8 inches.

Step by step solution

01

Given information

The given statement width is four more than six times its height .

Area of a triangle is 208 square inches.

02

Simplification of the equation

h = the height of a triangle.

4 + 6h= the width

208 = Area of a triangle.

Area = 12脳b脳h

208 = 12脳4+6hh

Simplify

localid="1648572463497" 416=4+6hh416=4h+6h2Take2asacommon3h2+2h-208=0a=3,b=2andc=-208Usingquadraticformulah=-b卤b2-4ac2ah=-2卤22+4320823h=-2+506or-2-506h=486,-526h=8,-8.6notpossibleb=4+68=52

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