Chapter 5.4, Problem 34E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

*Given:*

*Prove: *

(*Note: AB = c, AC = b and CB = a.*)

To determine

**To Proof** **:**

Explanation

**Given:**

*AB=c, AC=b and CB=a.*

**Approach:**

Now *a, b *and *c *are the lengths of the three sides of the triangle, with *c* is the longest side, then

From the triangle theorems,

1. If the square of the length of the longest side is greater than the sum of square of the lengths of other two sides then the triangle is Obtuse.

2. If the square of the length of the longest side is less than the sum of square of the lengths of other two sides then the triangle is Acute.

3. If the square of the length of the longest side is equal to the sum of square of the lengths of other two sides then the triangle is Right triangle.

So given ABC is not a right triangle then the triangle must be Obtuse or Acute triangle

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