Question

What is the area of the triangle in the diagram?

Answer 1

The answer is the 2nd one

Explanation:

Answer 2

(B)

Explanation:

Given: A triangle whose coordinates are (0,0),
`(x_(1),y_(1))` and
`(x_(2),y_(1))`.

To find: The area of the triangle.

Solution: We know that Area of triangle=
`(1)/(2){*}base{*}height`.

Now, Base=
`\sqrt{(x_(2)-x_(1))^(2)+(y_(1)-y_(1))^(2)}`

Base=
`(x_(2)-x_(1))`

And height=
`\sqrt{(0-0)^2+(y_(1)-0)^2}`

Height=
`y_(1)`

Therefore, area of triangle=
`(1)/(2){*}(x_(2)-x_(1))}{*}y_(1)`

Area of triangle=
`(1)/(2)y_(1)(x_(2)-x_(1))}`