Question

Find the area of ABF. Round the area to the nearest whole number if necessary.

Answer 1

`6`

Explanation:

We see that the triangle is a right triangle. We need to find the lengths of the two legs to find the area, then. Let's start with AB.

`AB=√((3-1)^2+(0-(-2))^2)=√(2^2+2^2)=√(8)=2√(2)`

Now, we do the other leg.

`√((1-4)^2+(-2-(-5))^2)=√(3^2+3^2)=√(18)=3√(2)`.

That will make the area
`b*h/2=2√(2)*3√(2)/2=6*2/2=6`