A piece of flat pastry is cut in the shape of a right-angled triangle. The longest side is 6b cm and the

Question

shortest is 2b cm

a) Find the length of the third side.
b) Prove that the area of the triangle is equal to 4√2b^2 cm^2.

Answer 1

x^2 + (2b)^2 = (6b)^2
x^2 + 4b^2 = 36b^2
x^2 = 32b^2
x = 4b√2

Now recall that area = bh/2 and just do the multiplication

Answer 2

Alright, thanks again Steve! :)