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# Work with a partner. The perimeter of the larger triangle is 150% of the perimeter of the smaller triangle. Find the dimensions of each triangle. Solution

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The perimeter of a triangle is the sum of its side lengths. We are given that:

$\text{150\% of smaller perimeter}=\text{larger perimeter}$

$1.5(10+8+x)=15+9+2x$

$1.5(18+x)=24+2x$

$27+1.5x=24+2x$

$3+1.5x=2x$

$3=0.5x$

$6=x$

So, the dimensions of the smaller triangle are:

$6,8,10$

and the dimensions of the larger triangle are:

$9,12,15\color{white}\tag{1}$

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