In a right-angled triangle, 1 of the legs is 6 centimeters with an angle of 30 degrees adjacent
| September 21, 2021 | education
In a right-angled triangle, 1 of the legs is 6 centimeters with an angle of 30 degrees adjacent to it. Find the leg and the hypotenuse.
The cosine of an acute angle of a right-angled triangle is equal to the ratio of the adjacent leg to the hypotenuse.
Cos30 = AC / AB.
AB = AC / Cos30 = 6 / (√3 / 2) = 12 / √3 = 4 * √3 cm.
BC = AB / 2 = 4 * √3 / 2 = 2 * √3 cm
Answer: The length of the hypotenuse is 4 * √3 cm, the length of the leg is 2 * √3 cm.
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