### Kissing Triangles

Determine the total shaded area of the 'kissing triangles'.

### Isosceles

Prove that a triangle with sides of length 5, 5 and 6 has the same area as a triangle with sides of length 5, 5 and 8. Find other pairs of non-congruent isosceles triangles which have equal areas.

A red square and a blue square of side $s$ are overlapping so that the corner of the red square rests on the centre of the blue square.