I have a square that is divided into 2 triangles. In the middle of the top triangle there is this: 6ã2 in. and at the bottom corner of the same triangle it says 45 degrees. Could some explain to me how to find the area and the perimeter? I'm not sure what I'm supposed to do with the radical.

Question

I have a square that is divided into 2 triangles. In the middle of the top triangle there is this: 6ã2 in. and at the bottom corner of the same triangle it says 45 degrees. Could some explain to me how to find the area and the perimeter? I'm not sure what I'm supposed to do with the radical.

MathMate · Answer

So the square has a diagonal whose length is 6√2 in. The angle made by the diagonals with the sides of a square is always 45° as stated.

If the side length of a square is x, then the length of the diagonal is x√2, which implies that the given square is of side length 6 inches.

Would you now be able to proceed to find the area and perimeter of a square of side length 6 inches?

Anonymous · Answer

Got it! Thanks so much!