Concept explainers
To calculate: The probability of a
Answer to Problem 46HP
The range of the unknown length is
Explanation of Solution
Given information:
The given perimeter of the triangle is:
The given sides of the triangle are a whole number.
Calculation:
Consider the common length as x .
Base length will be perimeter minus the two sides.
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
Calculate the range of
Consider the third side of the triangle as
Calculate the range of
Consider the third side of the triangle as
Calculate the range of
From the above range, find the range of x .
Consider the above range to write the possible cases of the sides of the triangle.
It is seen that only the triangle having sides
Calculate probability of the triangle to be equilateral.
Hence, the range of the unknown length is
Chapter 5 Solutions
Geometry, Student Edition
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