Question

Caculate the area of the shaded portion :

Answer 1

This is the diagram

Answer 2

Hey @Greaty
Let us draw the image in a better way shall we? :D



After finding AB.

Prove that ABC is a right triangle too. By saying that it satisfies the pythagorus theorem.

Getting this?

Answer 3

Thanks

Answer 4

Yes it is. Now try proving the bigger triangle, a right triangle.
Say that, using the other two sides: 48 and 20 as the base and the perpendicular. We get 52 as the hypotenuse when we apply pythagorus' theorem.

Thus, as

\[\sqrt{48^2 + 20^2} = 52\]
we say that, by using converse of pythagorus' theorem. ABC must be a right angled triangle. Because even in the triangle the largest side is 52 which we have now proven to be the hypotenuse of a right angled triangle!

Got it? :)

Answer 5

Yes Thanks