In a right triangle, one of the angles is $45^\circ,$ and the hypotenuse is $6$ inches. Find the area of the triangle in square inche
The triangle will be isosceles with two equal legs
So
L^2 + L^2 = 6^2
2L^2 = 36
L^2 = 36/2
L^2 =18
Area = (1/2) (product of the legs) = (1/2) (L * L ) = (1/2) (L^2) = (1/2)(18) = 9 in^2