   Chapter 5.4, Problem 32E 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

In quadrilateral ABCD, B C ¯ ⊥ A B ¯ and D C ¯ ⊥ diagonal A C ¯ . If AB=4, BC= 3, and DC = 12, determine DA. To determine

To Find:

Length of DA.

Explanation

Given In quadrilateral ABCD, BC¯AB¯ and DC¯ diagonal AC¯. If AB=4, BC= 3, and DC = 12,

From the given data,

AB = 4, BC = 3 and DC =12.

From the figure,

BC¯AB¯ and DC¯ diagonalAC¯.

So ABC is a right triangle, then

From the Pythagorean Theorem,

AC2=AB2+BC2AC2=(4)

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