The large side of the rectangle is 12 cm, and its diagonal is 13 cm. What is the area of this rectangle?
| May 3, 2021 | education
Since ABCD is a rectangle, triangle ABC is rectangular.
According to the Pythagorean theorem, in the right-angled triangle ABC we determine the length of the leg AB.
AB ^ 2 = AC ^ 2 – BC ^ 2 = 13 ^ 2 – 12 ^ 2 = 169 – 144 = 25.
AB = 5 cm.
Let’s define the area of the rectangle ABCD.
Savsd = AB * BC = 5 * 12 = 60 cm2.
Answer: The area of the rectangle is 60 cm2.
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