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Geometry

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Moderate

Pythagorean Theorem: 45-45-90/Ranch Frame Application

GEOM-TNDISB

McGinness. Created for Albert.io. Copyright 2016. All rights reserved.

A rancher is constructing a driveway entrance frame that will convey his obsession with the sturdiest polygon, the triangle. The top of the frame is parallel to the ground and the vertical support bars are perpendicular to the ground. To the nearest foot, how many feet of steel pipe will be needed to construct the frame?

Note: $\overline {TN}$ denotes the ground. No steel framing is needed. All remaining bold segments are considered steel framing.