The third side of each triangle will measure approximately 14.14 cm.
To divide the square into two equivalent triangles, we can draw a diagonal line from one corner of the square to the opposite corner. This diagonal line will divide the square into two right-angled triangles.
Using the Pythagorean theorem, we can calculate the length of the diagonal:
diagonal^2 = side^2 + side^2
diagonal^2 = 20^2 + 20^2
diagonal^2 = 400 + 400
diagonal^2 = 800
diagonal ≈ √800
diagonal ≈ 28.28 cm
Since the diagonal divides the square into two equivalent right-angled triangles, each triangle will have a base and height that are half of the diagonal length. Therefore, the third side of each triangle will measure approximately:
Third side = diagonal / √2
Third side = 28.28 / √2
Third side ≈ 28.28 / 1.41
Third side ≈ 20 cm
Therefore, each triangle will have a third side measuring approximately 14.14 cm.
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?
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1 answer