   Chapter 10.1, Problem 35E 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

Determine the area of ∆ A B C if A = 2 ,   1 ,   B = 5 ,   3 ,   a n d   C is the reflection of the B across the x -axis.

To determine

To find:

The area of ABC if A=2, 1, B=5, 3, and C is the reflection of the B across the x-axis.

Explanation

Given vertices are,

A=2, 1, B=5, 3

C is the reflection of B across x-axis. Hence the coordinates of C=(5, -3)

Sketch the points and draw the triangle in the graph as shown in figure,

Base of the triangle can be determined by subtracting x-coordinates of ST

Base AC=5-2=3

Height of the

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