   Chapter 4.2, Problem 7E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
3 views

# In parallelogram A B C D (not shown), A B = 8 , m ∠ B = 110 ° , and B C = 5 . Which diagonal has the greater length?

To determine

The diagonal that has greater length.

Explanation

Approach:

In any parallelogram, with unequal pairs of consecutive angles, the longer diagonal lies opposite to the obtuse angle.

Calculation:

Given,

ABCD is a parallelogram.

AB=8,

mB=110°

BC=5

Thus, the parallelogram must be

In any parallelogram, with unequal pairs of consecutive angles, the longer diagonal lies opposite to the obtuse angle

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