Question

What is the value/expression for the side length highlighted in green.

Answer 1

15

Explanation:

The parallel lines divide the transversals proportionally.

The green length = 24 - c , then

`(24-c)/(20)` =
`(c)/(12)` ( cross- multiply )

12(24 - c) = 20c ← distribute left side

288 - 12c = 20c ( add 12c to both sides )

288 = 32c ( divide both sides by 32 )

9 = c

Then

green length = 24 - 9 = 15