In a right-angled triangle, one of the acute corners is 30 degrees, and the hypotenuse is 12 cm.
| September 3, 2021 | education
In a right-angled triangle, one of the acute corners is 30 degrees, and the hypotenuse is 12 cm. Find the smaller leg of this triangle.
Given a right-angled triangle, the smaller leg will be opposite the smaller angle. And the smaller angle is 30 degrees, the larger one is 60 degrees.
We use the formula to determine the smaller leg. Let’s call the smaller leg a, the hypotenuse – c.
a = c * sin 30.
sin 30 = 1/2.
a = 12 * 1/2.
a = 6.
Answer: the smaller leg of the triangle is 6 cm.
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