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The sum of the 2 smallest sides of a triangle must be greater than the length of its longest side

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Q: If 48 cm and 54 cm are the lengths of two sides of the triangle what is the range of possible values of the third side?
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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 &lt; x and 6 + x &gt; 15. Simplify both those inequalities to solve for x. You should get x&gt;21 and x&gt;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&lt;x&lt;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.

Related questions

what- A triangle has side lengths 0.87 m and 0.23 m.What is the range of possible side lengths for the third side, x?

0.64


How do you find the range of a triangle?

to find the range of values of triangle. Add the value of the sides of the given sides...is it?


What is practical domain and range?

Domain: All Possible "x" values Range: All possible "y" values


How do you tell if its relation between range and domain?

Domain is what you can plug into the function (possible x values for y=f(x) type functions) and range is the possible values you can get out (possible y values).


What is the standard equation for finding range?

What sort of range-distance of an object, range of a plane, range of possible values, are all possible.


What is range is math?

Range, when talking about math, is all the possible y values.


What are the possible values of x called in a function?

The allowable values of x are called the "domain", and the resultant set of possible y values are called the "range".


What are the domain and range of the function?

The domain of a function is the set of values for which the function is defined.The range is the set of possible results which you can get for the function.


What are possible values for y called?

They comprise the codomain or range.


What is the possible range of values for the coefficient of variation?

0% to 100%


What is the set of all possible output values of a function or relation?

The Range is the set of all possible output values of a function or relation.


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