SOLUTION: the measures of two sides of a triangle are 29 and 14. Find the range of values for the third side, x. answer and how do you set up the problem.

Question 528304: the measures of two sides of a triangle are 29 and 14. Find the range of values for the third side, x. answer and how do you set up the problem.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Either

is the longest side of the triangle or 29 is the longest side.

The triangle inequality says that the measure of any side of any triangle is less than the sum of the other two sides.

So either 29 is the longest side and:

is the longest side and:

Solve the first inequality for the lower limit on

and solve the second one for the upper limit.

John

My calculator said it, I believe it, that settles it

The Out Campaign: Scarlet Letter of Atheism

RELATED QUESTIONS
The measures of two sides of a triangle are 24 inches and 29 inches. If the measure of... (answered by JBarnum,solver91311)

The measures of two sides of a triangle are 14 feet and 29 feet. If the measure of the... (answered by jim_thompson5910)

Find the range of the measure of the third side of a triangle given that the measures of... (answered by richwmiller)

The lengths of two sides of a triangle are 11 and 23. If the third side is x, find the... (answered by reviewermath)

if two sides of a triangle measure 21 and 22,find the range of possible measures for the... (answered by stanbon)

Two sides of a triangle are 7inches and 10inches. Give the range of all possible values... (answered by Jstrasner,richard1234)

Find the range for the measure of the third side of a triangle given that the measures of (answered by stanbon)

Find the range for the measurement of the third side of a triangle, x, given the measures (answered by ewatrrr)

how to find the range for the measure of the third side of a triangle given the measures... (answered by Edwin McCravy)