Two sides of a triangle have the following measures. Find the range of possible measures for the third. (Two sides given are 9 and 5.)

Given:

Two sides of a triangle are 9 and 5.

To find:

The range of possible measures for the third side.

Solution:

In a triangle, the sum of smaller sides must be greater than the largest side.

Let x be the measure of third side.

Case 1: When x is the largest side, then

           ...(i)

Case 2: When 9 is the largest side, then

           ...(ii)

Using (i) and (ii), we get

Therefore, the range of possible measures for the third side is .

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

~

yes

step-by-step explanation:

yes