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Elementary Geometry for College St...

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

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Section
BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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Which of the following can be the lengths of the sides of a triangle?
a) 3 , 6 , 9
b) 4 , 5 , 8
c) 2 , 3 , 8

To determine

a)

Whether the given lengths of the sides can from a triangle.

Explanation

Given:

The side of a triangle have lengths of 3, 6, and 9.

Approach:

The length of any side of a triangle must lie between the sum and difference of the lengths of the other two sides.

Calculation:

Consider a triangle,

Assume the third side of the triangle is x.

The length of the two sides of a triangle is 3 and 6.

Calculate the sum of the given sides.

3+6=9

Calculate the difference of the given sides

To determine

b)

Whether the given lengths of the sides can from a triangle.

To determine

c)

Whether the given lengths of the sides can from a triangle.

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