   Chapter 8.CR, Problem 11CR ### 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
4 views

# Given: Isosceles trapezoidABCDEquilateral Δ F B C Right Δ A E D BC = 12, AB = 5, and ED = 16 Find: a) A E A F D b) P E A F D To determine

(a)

To find:

AEAFD

Explanation

Calculation:

Given:

Isosceles trapezoid ABCD Equilateral ΔFBC Right ΔAEDBC = 12, AB = 5, and ED = 16

To find AFBC:

The area of equilateral triangle (all sides congruent) =34s2

Where s is the length of one side of the triangle.

In equilateral ΔFBC, BC (s) = 12 substitute in 34s2

AFBC=34(12)2=34(144)=363

To find AABCD:

AB = 5 and BC = 12

AABCD=12(BC+BC+12(2)AB)(12AB3)=12(12+12+12(2)(5))(12×53)=12(24+12(10))(532)=12(24+5)(532)=14(29×53)=14534

To determine

(b)

To find:

PEAFD

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