Question

What is the area of this triangle?

Answer 1

Option (D)

Explanation:

Formula for the area of a triangle is,

Area of a triangle =
`(1)/(2)(\text{Base})(\text{Height})`

For the given triangle ABC,

Area of ΔABC =
`(1)/(2)(\text{AB})(\text{CD})`

Length of AB =
`(y_2-y_1)`

Length of CD =
`(x_3-x_1)`

Now area of the triangle ABC =
`(1)/(2)(y_2-y_1)(x_3-x_1)`

Therefore, Option (D) will be the answer.