In a right-angled triangle, one of the legs is 4, the angle opposite it is 30 degrees, and the hypotenuse is 8.
| August 18, 2021 | education
In a right-angled triangle, one of the legs is 4, the angle opposite it is 30 degrees, and the hypotenuse is 8. Find the area of the triangle.
Let’s calculate the length of the BC leg.
tgBAC = BC / AB.
AB = BC / tg30 = 4 / (1 / √3) = 4 * √3 cm.
Then Savs = AB * BC / 2 = 4 * √3 * 4/2 = 8 * √3 cm2.
Answer: The area of the triangle is 8 * √3 cm2.
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