
Concept explainers
To find: The perimeter of the

Answer to Problem 25STP
Required perimeter of triangle DEF is 8 centimeters.
Explanation of Solution
Given information: Two similar triangles DEF and LMN and perimeter of triangle LMN is given 24 centimeter, and scale factor relation triangle LMN to triangle DEF is 1/3.
Concept used:
In similar triangles, scale factor is actually the ratio of their corresponding sides. That means each side of triangle DEF is one-third of its corresponding sides. Thus, its perimeter of triangle DEF would also be one-third of perimeter of triangle LMN.
Calculation:
Perimeter of triangle DEF is calculated as follows:
Based on above calculation, required perimeter of triangle DEF is 8 centimeters.
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