Question

PLS HELP QUICK PLS

The two figures below are similar.
30 in
???
inches
12 in
16 in
What is the length of the missing side?

Answer 1

40 inches

Explanation:

Similar Triangles

In similar triangles, corresponding sides are always in the same ratio.

Let x be the length of the missing side.

Therefore:

`\implies \sf x:16=30:12`

`\implies \sf (x)/(16)=(30)/(12)`

`\implies \sf 16 \cdot (x)/(16)=16 \cdot (30)/(12)`

`\implies \sf x=(480)/(12)`

`\implies \sf x=(40 \cdot 12)/(12)`

`\implies \sf x=40`

Therefore, the length of the missing side is 40 inches.