Source of question : https://nrich.maths.org/548 Question=Find area of the shaded/inscribed part of the shape. I have got the answer for the first two shaded shapes , however the I cannot find a way of finding the area of the second square . As the triangle is isoceles take the two equal sides as '3' and the hypotenuse as '3✓2)' Picture of shape attached :
Hint:
remembering that $\triangle ABC$ is an isosceles right angled triangle