R. 12. Your friend claims that because each midsegment is half as long as the corresponding side of the triangle, the perimeter of the midsegment triangle is half the perimeter of the original triangle. Is your friend correct? Explain your reasoning.

R. 12. Your friend claims that because each midsegment is half as long as the corresponding side of the triangle, the perimeter of the midsegment triangle is half the perimeter of the original triangle. Is your friend correct? Explain your reasoning.

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter3: Solving Equation And Problems

Section3.4: Using Equations To Solve Problems

Problem 17P

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Question

In Exercises 6-11, use AQRS where A, B, and C are the midpoints of the sides.
Q
A
12. Your friend claims that because each midsegment is half as long as
the corresponding side of the triangle, the perimeter of the midsegment
triangle is half the perimeter of the original triangle. Is your friend correct?
Explain your reasoning.
13. A building has the shape of a pyramid with a square base. The midsegment
parallel to the ground of each triangular face of the pyramid has a length of
58 feet. Find the length of the base the pyramid.
58 ft

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