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Elementary Geometry for College St...

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

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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Determine the type of triangle represented if the lengths of its sides are:

a) a=1.5, b= 2 and c = 2.5

b) a= 20, b= 21 and c = 29

c) a=10, b= 12, and c =16

d) 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.

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