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A triangle has sides measuring 2 inches and 7 inches. If x represents the length in inches of the third side which inequality gives the range of possible values for x?
5 < x < 9
A triangle has sides measuring 8 inches and 12 inches. If x represents the length in inches of the third side which inequality gives the range of possible values for x?
4 < x < 20
How do you find the range of x in a triangle in geometry?
Ok, well let me start you off with an example first. Suppose you have triangle ABC with side lengths 6 and 15. What is the range of the possible values of the third side? What I would do first is sketch a picture of triangle ABC and assign 6 and 15 to any two sides, it doesn't matter what two sides and I'll show you why in a moment. To solve this problem, you need to set up an inequality using the Triangle Inequality Theorem. This theorem simply states that any two sides of a triangle must add up to be greater than the third side. To do this, we need to set up two inequalities: 6 + 15 < x and 6 + x > 15. Simplify both those inequalities to solve for x. You should get x>21 and x>9. Now, all you need to do is set up a compound inequality using those two inequalities you just simplified and you should get: 9<x<21 Easy right? :)
A triangle has sides measuring 5 inches and 8 inches If x represents the length in inches of the third side which inequality gives the range of possible values for x?
Ah hah! That little word "which" is pretty much a giveaway ... I'll just bet there wassome kind of a list of choices that was supposed to go along with the question, butsomehow got lost.Anyway, the correct inequality is: 3 < x < 13 .
What is the range of this relation 3 2 2 4 2 6 3 5 0 3?
The range is just the difference between the largest and smallest values lowest (0) and highest (6) for a range of 6.
