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Mathematics II (2018 edition)

Unit 10: Lesson 1

Pythagorean theorem
Math
Mathematics II (2018 edition)
Right triangles & trigonometry
Pythagorean theorem
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Pythagorean theorem challenge

CCSS.Math: HSG.SRT.C.8
Google Classroom
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Problem

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.
A triangle and a rectangle share a side that is eleven units long. The triangle has a height of x units. The slanted side of the triangle is sixty-one units. The rectangle has the width of five units.
How high off the ground is the top of the monument?
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0, point, 75
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
meters
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