12 m 20 m 16 m 6m 10m x find the length represented by x for each pair of similar triangles

Step-by-step explanation:

Let the two triangles be represented as A and B.

Given two triangles with sides 12m 20m 16m and 6m 10m x.

Lengths of sides of triangle A = 12m, 20m, 16m

Lengths of sides of triangle B = 6m, 10m, x

It can be seen that each length of triangle A are twice that of B i.e triangle B dilated by a factor of 1/2.

A = 2B

Considering the 16m length in triangle A  and comparing it with the 'x'm length in triangle B, we can get the unknown length x as shown;

16 = 2x

x = 16/2

x = 8m

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