Question

What is the area of the triangle in the diagram?

Answer 1

(B)

Explanation:

Given: A triangle whose coordinates are (0,0), (x1 y1) and (x2 y1)

To find: The area of the triangle.

Solution: We know that Area of triangle= 1/2
`basexheight`

Now, Base=
`√(x2 - x1 ^2 + y1 -y1)`

Base= x2 -x1
`√(0 - 0^2 + y1 - 0) ^(2)`

And height= y1

Height= y1

Therefore, area of triangle= 1/2
`x` (x2 -x1)
`x` y1

Area of triangle= 1/2y1 (x2 -x1)