The line joining the midpoints of the nonparallel sides of a trapezoid is parallel to and one- half the sum of the lengths of the parallel sides.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.2: Length And Angle: The Dot Product
Problem 2AEXP
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Please see attached. #4 only. Thanks. 

Use vector methods to prove the following:
3. Prove that the line joining the middle points of two sides of a triangle is equal to half the third
side.
4. The line joining the midpoints of the nonparallel sides of a trapezoid is parallel to and one-
half the sum of the lengths of the parallel sides.
5. If the sum of the squares of two sides of a triangle equals the square of the third side, then the
triangle is a right triangle.
Transcribed Image Text:Use vector methods to prove the following: 3. Prove that the line joining the middle points of two sides of a triangle is equal to half the third side. 4. The line joining the midpoints of the nonparallel sides of a trapezoid is parallel to and one- half the sum of the lengths of the parallel sides. 5. If the sum of the squares of two sides of a triangle equals the square of the third side, then the triangle is a right triangle.
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