Question

What is the area of the triangle in the diagram?

Answer 1

check the picture below.

Answer 2

Option A is the answer.

Explanation:

The area of the triangle is given as :

`A=(1)/(2)* base* height`

Base will be given by :

`\sqrt{(x1-0)^(2)+(y1-0)^(2)}`

=
`\sqrt{x1^(2)+y1^(2)}`

Similarly the height will be given by:

`\sqrt{(x2-0)^(2)+(y2-0)^(2)}`

=
`\sqrt{x2^(2)+y2^(2)}`

Now, putting these dimensions in the formula we get:

`(1)/(2)* \sqrt{(x1^(2)+y1^(2))(x2^(2)+y2^(2))}`

Therefore, option A is the answer.