Triangles ABC and d e f are similar the lengths of the sides of ABC are 56/64 and 72 the length of the largest side of d e f is 252 what is the length of the smallest side of d e f

Step-by-step explanation:

Given

Required

Determine the smallest side of DEF

Since both sides are similar, then the sides of DEF can be calculated using:

First, we need to solve for k

From the given parameters

when

This is so because these are the largest sides of both triangles respectively

Divide through by 72

We make use of the same formula to determine the length of the smallest side.

The smallest of ABC is 56, so we have:

Hence, the smallest side of DEF is 196

step-by-step explanation:

step-by-step explanation:

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