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Question

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:

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

1.5(10+8+x)=15+9+2x1.5(10+8+x)=15+9+2x

1.5(18+x)=24+2x1.5(18+x)=24+2x

27+1.5x=24+2x27+1.5x=24+2x

3+1.5x=2x3+1.5x=2x

3=0.5x3=0.5x

6=x6=x

So, the dimensions of the smaller triangle are:

6,8,106,8,10

and the dimensions of the larger triangle are:

9,12,15(1)9,12,15\color{white}\tag{1}

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