In a right-angled triangle, a leg is given equal to 10 cm and an angle of 60 degrees
| June 11, 2021 | education
In a right-angled triangle, a leg is given equal to 10 cm and an angle of 60 degrees opposite to it. Find another leg and the area of the triangle.
Since the ABC triangle is rectangular, then tg60 = AC / BC.
ВС = АС / tg60 = 10 / √3 = 10 * √3 / 3 cm.
Determine the area of the triangle ABC.
Savs = AC * BC / 2 = 10 * 10 * √3 / 3 = 100 * √3 / 3 cm2.
Answer: The area of the triangle is 100 * √3 / 3 cm2.
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