Question

Find the missing segment

Answer 1

The unknown side is 140

Explanation:

Let the unknown side be x

Using ratios

90 90+36

------ = -----------

x x+56

90 126

------ = -----------

x x+56

Using cross products

90(x+56) = 126x

Distribute

90x+5040 = 126x

Subtract 90x

5040 = 36x

Divide by 36

140 =x