volume_mute

Find the Base of an Isosceles Triangle

publish date2026/05/16 20:57:4.867934 UTC

volume_mute

A structural truss is in the shape of an isosceles triangle. A total of 76 linear feet of lumber was used. Each of the two equal sides is 20 feet long. How long is the base of the truss?

>20 ft20 ftb = ?P = 76 ft

Correct Answer

36 ft

Explanation

Let \(b\) = length of the base. Then:

\[b + 20 + 20 = 76\]\[b + 40 = 76\]\[b = 36\]

The base of the truss is 36 feet. Check: \(36 + 20 + 20 = 76\)

Reference

Mathematics for college students


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