# Diagonal brace on a bridge connects

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1. A 100-ft diagonal brace on a bridge connects a support of the center of the bridge to a side support on the bridge. The horizontal distance that it spans is 20 ft longer than the height that it reaches on the side of the bridge. Find the horizontal and vertical distances spanned by this brace.

2. The length of a rectangle is 2 meters more than its width. If the area is 63 square meters, what are the length and width?

3. Completely factor the following expression:

49y^2-81z^2

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##### Solution Summary

The expert examines diagonal braces on a budge connected to a support of the center of the bridge.

##### Solution Preview

1. Right triangle: hypoteneuse = 100 ft, shorter leg = x ft, longer leg = (x + 20) ft

x^2 + (x+20)^2 = 100^2

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