   Chapter 2.CR, Problem 19CR 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

For Review Exercises 19 to 24, decide whether the statements are always true (A), sometimes true (S), or never true (N).An isosceles triangle is a right triangle.

To determine

To check:

Whether the statement is always true, sometimes true, or never true.

Explanation

Given:

The given statement is,

An isosceles triangle is a right triangle.

Properties:

(1) In an isosceles triangle two sides are congruent.

(2) In an isosceles triangle two angles formed by congruent sides with the third side are equal.

Calculation:

Consider a triangle ΔABC with angles A, B, and C with mA=mB and mC=90°.

mA+mB+mC=180°.

Substitute mA for mB and 90° for mC in the above equation

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