You want to divide a square piece of paper into two equivalent triangles . If the square measures 20 cm on each side, what will the third side of each triangle measure? (1 point) 8.9 cm 20 cm 28.3 cm 40 cm

1 answer

The third side of each triangle will measure 28.3 cm.

To divide the square into two equivalent triangles, you would draw a diagonal line from one corner to the opposite corner, creating two right triangles. The diagonal of a square can be calculated using the Pythagorean theorem:

diagonal^2 = side1^2 + side2^2
diagonal^2 = 20^2 + 20^2
diagonal^2 = 400 + 400
diagonal^2 = 800
diagonal = sqrt(800)
diagonal ≈ 28.3 cm

Therefore, the third side of each triangle (the diagonal) will measure approximately 28.3 cm.