Question

What is the area of the triangle in the diagram?

Answer 1

Answer:

The answer is the 2nd one

Step-by-step explanation:

Answer 2

Answer:

(B)          

Step-by-step 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=$\frac{1}{2}{\times}base{\times}height$.

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= $\frac{1}{2}{\times}(x_{2}-x_{1})}{\times}y_{1}$

Area of triangle=$\frac{1}{2}y_{1}(x_{2}-x_{1})}$