The points A(0, 0), B(0, 4a - 5) and C(2a + 1, 2a + 6) form a triangle. If angle ABC = 90, what is the area of triangle ABC?(A)
102(B) 120(C) 132(D) 144(E) 156
1 answer:
Answer:
A:102
Step-by-step explanation:
We are given that the points A(0,0),B(0,4a-5) and C(2a-+1,2a+6) form a triangle.
If angle ABC=
We have to find the area of triangle ABC
If angle ABC= 90 degree
From given below figure




Substitute the values then we get
B(0,17) and C (12,17)
Distance formula

AB=
BC=
BC=
units
Area of triangle =
Substitute the values
Then we get
Area of triangle ABC=
Area of triangle ABC=102 square units
Answer: A: 102
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