Question

A tile maker makes triangular tiles for a mosaic. Two triangular tiles form a square. what is the area of one of the triangular tiles

Answer 1

Answer:
`(x^2)/(2)`

Explanation:

If two of the tiles form a square together, then one of them must be half of a square. this means that the square is split diagonally.

If you've ever done trigonometry, you'll know this is a 45-45-90 special right triangle. The side lengths are in the ratio of x, x, and xsqrt(2).

so we know the area of one of these tiles will be
`(x^2)/(2)`, where x is the side length of the square formed.