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
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.