
The possibility of forming a

Answer to Problem 2CYU
No a triangle will not be formed with the given side lengths.
Explanation of Solution
Given information:
The given sides of the triangle are:
3 in. , 4 in. and 8 in.
Consider the inequality of triangle theorem:
The sum of the lengths of any two sides of a triangle should be greater than the third side.
Consider the third side of the triangle as 8 in .
Check if 10 is greater than the sum of the other two sides.
if 3+4>87>8
As the side of the third length is not greater than the sum of the first and second, so the triangle cannot be formed with the given sides.
Hence, a triangle will not be formed with the sides 3 in. , 4 in. and 8 in.
Chapter 5 Solutions
Geometry, Student Edition
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