Mathematics: 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

A, because if x = 6 then 6 + 8 = 14. 8 more than 6 is 14, which means addition. Hope this helps...

Triangles ABC and d e f are similar the lengths

jimena15

07.02.2022

D E F = 196

Step-by-step explanation:

Given

$ABC = 56, 64\ and\ 72$

$Largest\ of\ D E F = 252$

Required

Determine the smallest side of DEF

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

D E F = k * ABC

First, we need to solve for k

From the given parameters

D E F = 252 when ABC = 72

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

D E F = k * ABC

252 = k * 72

Divide through by 72

252/72 = k * 72/72

k=252/72

k=3.5

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

The smallest of ABC is 56, so we have:

D E F = k * ABC

D E F = 3.5 * 56

D E F = 196

Hence, the smallest side of DEF is 196

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