   Chapter 5.4, Problem 14E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
3 views

# Determine the type of triangle represented if the lengths of its sides are:a) a=1.5, b= 2 and c = 2.5b) a= 20, b= 21 and c = 29c) a=10, b= 12, and c =16d) a= 5, b= 7 and c = 9

To determine

(a)

To Find:

Type of the triangle.

Explanation

Given a=1.5, b=2 and c=2.5,

Let 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.

c2>a2+b2

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.

c2<a2+b2

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.

c2=a2+b2

Here given a=1

To determine

(b)

To Find:

Type of the triangle.

To determine

(c)

To Find:

Type of the triangle.

To determine

(d)

To Find:

Type of the triangle.

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Find more solutions based on key concepts 