Question

What is the area of the triangle in the diagram?

Answer 1

Check the picture below.

Answer 2

Answer:

Option A is the answer.

Step-by-step explanation:

The area of the triangle is given as :

$A=\frac{1}{2}\times base\times height$

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:

$\frac{1}{2}\times \sqrt{(x1^{2}+y1^{2})(x2^{2}+y2^{2})}$

Therefore, option A is the answer.