   Chapter 8.CR, Problem 2CR ### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

#### Solutions

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

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

# For the Review Exercises, give an exact answer unless stated otherwise.In Review Exercises 1 to 3, draw a figure that enables you to solve each problem. Given: ▱ A B C D with A B = 8 and A D = 10 Find: A A B C D if: a) m ∠ A = 30 ∘ b) m ∠ A = 60 ∘ c) m ∠ A = 45 ∘

To determine

(a)

To find:

AABCD if mA=30

Explanation

Theorem:

The area A of a parallelogram with a base of length b and with corresponding altitude of length h is given by

A=bh

Calculation:

Consider the parallelogram ABCD with AB = 8 and AD = 10

Suppose mA=30

Draw a figure using hypothesis.

We must find the height to find the area.

We know this forms a 30-60-90 triangle, so the height it:

To determine

(b)

To find:

AABCD if mA=60

To determine

(c)

To find:

AABCD if mA=45

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