Chapter 4.2, Problem 7E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

# 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,

mâˆ B=110Â°

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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