   Chapter 2.4, Problem 47E 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 Exercises 45 to 47, write a formal proof for each corollary.Use an indirect proof to establish the following theorem:A triangle cannot have more than one right angle.

To determine

To prove:

A triangle cannot have more than one right angle.

Explanation

Approach:

The sum of the three angles in a triangle is 180°.

Calculation:

Consider a triangle as ΔABC.

Assume, a triangle has two right angles; m1=90° and m2=90°.

Figure (1)

Calculate the angles of a triangle.

m1+m2+m3=180°……(1)

Substitute 90° for m1 and 90° for m2 in equation (1).

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