The sites of an obtuse triangle measure 10 niches and 15 mches. the length of longest side is unknown
what is the smallest possible whole pumber length of the unknown side?
5 inches

19 inches.

Step-by-step explanation:

By definition, an Obtuse angle measures more than 90 degrees and less than 180 degrees. Then, an Obtuse triangle has an angle greater than 90 degrees.

Let be "x" the lenght of the unknown side of the Obtuse triangle.

In this case, knowing the lenght of two sides of the obtuse triangle, we can use the Pythagorean Theorem:

We can say that:

Then, solving for "a", we get:

Then, the smallest possible whole number length of the unknown side of the obtuse triangle is the next whole number greater than 18.02 inches. This is:

For this case what we are going to do is describe the work part by part:

1) Talib made the correct variable change in the first step.

2) Talib made a correct clearance in the second step by passing the number 4 subtracting.

3) Taliz made a correct clearance in the third step by passing the number -8 dividing.

4) Taliz made an incorrect variable change in the last step.

The correct variable change is:

Error in the last step, the correct solution is: