The hypotenuse of a right triangle measures $6\sqrt{2}$ inches and one angle is $45^{\circ}$. What is the number of square inches in the area of the triangle?
Oh! Got it!!
If one acute angle of a right triangle is, then the other is, so the triangle is a 45-45-90 triangle. The hypotenuse is times the length of each leg, so each leg has 6. Therefore, the area of the triangle is.