in right triangle abc , ac is the hypotenuse . if ac is 35 and ab + bc = 55 , what is the area of the triangle abc ?
"square ab + bc = 55 : ( ab ) ^ 2 + 2 * ab * bc + ( bc ) ^ 2 = 3025 . since ( ac ) ^ 2 = ( ab ) ^ 2 + ( bc ) ^ 2 = 35 ^ 2 = 1225 , then ( ab ) ^ 2 + 2 * ab * bc + ( bc ) ^ 2 = 1225 + 2 * ab * bc = 3025 . 1225 + 2 * ab * bc = 3025 . ab * bc = 900 . the area = 1 / 2 * ab * bc = 450 . answer : b ."
triangle_area_three_edges(35, multiply(const_3, const_10), multiply(const_4, const_10))