ABCD is a rectangle, BC = 20 cm, AC = 25 cm.Find CD (x).
| September 17, 2021 | education
The diagonal AC divides the rectangle into two right-angled triangles, then, according to the Pythagorean theorem, we determine the length of the leg AB.
AB ^ 2 = AC ^ 2 – BC ^ 2 = 25 ^ 2 – 20 ^ 2 = 625 – 400 = 225.
AB = 15 cm.
In a rectangle, the opposite sides are equal, then CD = AB = 15 cm.
Answer: The length of the CD side is 15 cm.
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