My Name Is Bob

A right triangle has hypotenuse 8 and area 8. Find the perimeter? I think I have to use Heron's Formula for this question. Please help & show work. Thank you very much. Your work is very much appreciated.

Point N is on hypotenuse BC of triangle ABC such than angle CAN is 45 degrees. If AC=8 and AB=6, find AN. I did Pythagorean Theorem for triangle ABC, and hypotenuse BC will be 10. I don't know how to continue from there. Oh, I'm also unsure about this, bu...

Point N is on hypotenuse BC of triangle ABC such than angle CAN is 45 degrees. If AC=8 and AB=6, find AN.

Given a square, what is the locus of points equidistant from the sides?

A solid cone is cut into two parts by a plane parallel to the base and 3/5 of the height of the cone above the base. Find the ratio of the volumes in the two parts.

A hi-tech bowling ball is constructed from concentric spheres, kind of like a perfectly round M&M peanut. The inner sphere, of material X, has a radius of 1 inch. The middle spherical shell of material Y has a thickness of 2 inches. The outer shell of mat...