Pythagorean Theorem Challenge (from Khan Academy)

A monument in the shape of a right triangle sits on a rectangular pedestal that is 5 meters high by 11 meters long. The longest side of the triangular monument measures 61 meters. How high off the ground is the top of the monument?

Tags

CCSS.8.G.B.8

Find the value of h in the drawing. You can assume that the two triangles shown are right triangles. Round your answer to the nearest tenth (one digit after the decimal).

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CCSS.8.G.B.8

Jaykob is putting a clothesline in his rectangular backyard. He wants to put it between two trees on the edge of his property. He has measured his property, and made the sketch shown below, where all of the lengths are listed in feet. What is the smallest length of rope that Jaykob could buy which would stretch from one tree to the other?

Tags

CCSS.8.G.B.8