Answer:
7
Explanation:
Area of a triangle is the height times the base divided by two. This triangle does not have a height that would work for this equation, so we will make a 'ghost' triangle of sorts to help us. I have drawn this in with dotted lines.
We know total height (2.8), and so we can make 'fake' right triangle (look at picture) and attatch it to the real traingle. This way, we have a height that works for our triangle equation. But by doing so, we need to find the new base of our new triangle. We can't use 5. This is done with Pythagorean theorem, where we find the base of our 'ghost' triangle, which is 1.01. The new base, then, is 5+1.01= 6.01.
With our base and height we can solve for total area.
2.8*(6.01)/2=8.507
BUT, this is only for when we add the ghost triangle. THIS ISN'T REAL. We need to get rid of the fake triangle area to find the real area.
The ghost triangle area is 1.507.
So, 8.507-1.507= 7