In right triangle ABC, AC is the hypotenuse. If AC is 35 and AB + BC = 55, what is the area of the triangle ABC?
Choose the correct choice from the following.
A) 225
B) 450
C) 25√2
D) 200
E) 200√2
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: 450.
<result>B</result>
In right triangle ABC, AC is the hypotenuse. If AC is 35 and AB + BC = 55, what is the area of the triangle ABC?