To find: The possibility of forming a
Answer to Problem 39PPS
The triangle can be drawn.
Explanation of Solution
Given information:
The coordinates of the points are:
Formula used:
Calculate the length of FG using the distance formula,
Calculate the length of GH using the distance formula,
Calculate the length of FH using the distance formula,
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
Check the range using the inequality of triangle.
Consider the third side of the triangle as
Check the range using the inequality of triangle.
Consider the third side of the triangle as
Check the range using the inequality of triangle.
It is seen the sum of the lengths of any two sides of a triangle is greater than the third side in all cases.
Hence, the triangle can be drawn.
Chapter 5 Solutions
Geometry, Student Edition
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