Anew bridge structure requires triangles that are in a ratio of 1: 1. if ac = 2x + 10 and ec = 4x − 18, find the distance between the top and bottom of the bridge, in feet.

 The required distance between the top and bottom of the bridge is 76 feet.

Step-by-step explanation:  Given that a new bridge structure requires triangles that are in a ratio of 1:1.

AC = 2x + 10 and EC = 4x − 18.

We are to find the distance between the top and bottom of the bridge, in feet.

Since the two triangles ACB and DCE are in the ratio 1 : 1, so their corresponding sides are also in the ratio 1 : 1.

The sides AC and EC are corresponding to each other, so we must have

Therefore, the distance between the top and bottom of the bridge is

Thus, the required distance between the top and bottom of the bridge is 76 feet.

a

b

d

step-by-step explanation: