In the trapezoid ABCD, the height of the CK, equal to 8 cm, cuts off the segment DK

univerkov | September 19, 2021 | education

In the trapezoid ABCD, the height of the CK, equal to 8 cm, cuts off the segment DK, equal to 6 cm, on the larger base AD. Find the side of the CD.

Since SC is the height of the trapezoid ABCD, then the triangle CDK is rectangular, then by the Pythagorean theorem we determine the length of the hypotenuse CD.

CD ^ 2 = CK ^ 2 + DC ^ 2 = 8 ^ 2 + 6 ^ 2 = 64 + 36 = 100.

СD = 10 cm.

Answer: The length of the CD side is 10 cm.

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