In a rectangle, one side is 24 and the diagonal is 74. Find the area of the rectangle.
| March 2, 2021 | education
Consider a right-angled triangle ABC, in which, according to the Pythagorean theorem, we determine the length of the leg BC.
BC ^ 2 = AC ^ 2 – AB ^ 2 = 74 ^ 2 – 24 ^ 2 = 5476 – 576 = 4900.
BC = 70 cm.
Determine the area of the rectangle. Savsd = AB * AD = 24 * 70 = 1680 cm2.
Answer: The area of the rectangle is 1680 cm2.
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