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The triangle with vertices congruent to the triangle

The triangle with vertices congruent to the triangle

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.1: Rectangular Coordinate Systems
Problem 15E
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The triangle with vertices (0, 0), (2, 1), and (0, 5) can be cut into pieces that are each congruent to the triangle with vertices (2, 0), (3,0), and (3, 2). Show how.
Transcribed Image Text:The triangle with vertices (0, 0), (2, 1), and (0, 5) can be cut into pieces that are each congruent to the triangle with vertices (2, 0), (3,0), and (3, 2). Show how.
Expert Solution
Step 1

The vertices of triangle are A(0, 0), B(2,1) and C(0,5). 

The vertices of other triangle are P(2, 0), Q(3,0) and R(3,2). 

Let find the distance between the vertices using the distance formula for the triangle ABC.

AB=2-02+1-02  =5

BC=5-12+0-22=20=25

AC=5-02+0-02=5

 

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