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A new bridge structure requires triangles that are in a ratio of 1:1. if ac = 5x − 5 and ec = 3x 9, find the distance between the top and bottom of the bridge, in feet.

Respuesta :

Similar triangles have equal side lengths and measure of angles.

The distance between the top and bottom of the bridge, is 60 feet

The ratio of the triangle is 1 : 1.

So, we have:

This gives

Collect like terms

Divide both sides by 2

So, the required distance is:

Substitute 7 for x

Hence, the required distance is (c) 60 ft