Question

How do you find the range of a triangle​

Answer 1

To find a range of values for the third side when given two lengths, write two inequalities: one inequality that assumes the larger value given is the longest side in the triangle and one inequality that assumes that the third side is the longest side in the triangle. Combine the two inequalities for the final answer.

Explanation:

Answer 2

To find a range of values for the third side when given two lengths, write two inequalities: one inequality that assumes the larger value given is the longest side in the triangle and one inequality that assumes that the third side is the longest side in the triangle. Combine the two inequalities for the final answer.

Explanation:

ex: a triangle has side lengths 3, and 7, find the possible range length for the third side.

Solution: let x be the length of the third side of the triangle

The maximum value:

x<3+7=10 ______ x<10

The mimimum value:

x>7-3=4 ________ x>4

so 4<x<10 ( x is between 4 and 10)

Hope that made sense and helped!