Question

A square sandwich has been cut into two congruent triangles. What is the area of each triangle?

Answer 1

The two congruent triangles are isosceles right triangles if the knife cut were made along a diagonal of the square sandwich. Also, I assume the two triangular sandwiches together form the original square sandwich.

If the above holds, then each sandwich is half the area of the square sandwich. If S is the side of the square sandwich, then the area of the square is S^2 and each triangular sandwich has area (1/2)*S^2.

Answer 2

The area of a triangle is 1/2 * Base * Height. Because it is symmetrical division, due to the shape being a square, the area of each triangle is equal to each other.