Question

24. If two sides of a triangle measure 14 and 19, what is the inequality for the third side?

plsss help

Answer 1

the Inequality for third side is
`5<x<33`.

Explanation:

Given:

One side of triangle = 14

Second side of triangle = 19

Let 'x' represent the third side of the triangle.

We need to find the inequality for the third side.

Solution:

By Triangle Inequality theorem which states that;

"The length of third side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides. "

framing in equation form we get;

One side + Second side < Third side > One side - Second side

Now substituting the above value we get;

`19-14<x<19+14\\\\5<x<33`

Hence the Inequality for third side is
`5<x<33`.