1. a triangle has side lengths 10, 15, and 7. is the triangle acute, obtuse, or right? show your work and explain.

First, we need to set up the equation. To do so, we will need to use the Pythagorean theorem. 



Then, you have to plug in the two smallest numbers in A and B which is 10 and 7. The highest number is always C which in this case is 15..

So:



So after square rooting, A= 100 and B= 49 and C=225

100+49=225
149=225

To know which triangle it is, you have to look if C is greater than A and B or less than A and B.

In this case, C is greater than A and B combined, so the answer is it's an obtuse.

Hope this helps!