The points A(0, 0), B(0, 4a - 5) and C(2a + 3, 2a + 6) form a triangle. If angle ABC = 90, what is the area of triangle ABC?
Options:
A) 114
B) 116
C) 118
D) 119
E) 120
1/2bh=1/2(2a+3)(2a+6)   Now 4a-5=2a+6   2a=11   Therefore,   A(0,0); B(0,17); C(14,17)   1/2*14*17= 
<gadget id="calculator">1/2*14*17</gadget>
<output>119</output>
119   Answer: 119
<result>D</result>
The points A(0, 0), B(0, 4a - 5) and C(2a + 3, 2a + 6) form a triangle. If angle ABC = 90, what is the area of triangle ABC?