Question

Solve for the long leg and for the hypotenuse of the 30-60-90 triangle.

Answer 1

By using the properties of the 30-60-90 right triangles, the lengths of the long leg and the hypotenuse are √3 · L and 2 · L, respectively.

What are the lengths of the hypotenuse and the long leg of the 30-60-90 right triangle?

Right triangles are triangles where one of its internal angles is a right angle, that is, has a measure of 90°. 30-60-90 triangles are right triangles whose internal angles have measures of 30°, 60° and 90°, respectively.

This kind of right triangles have the following features:

1. The long leg is adjacent to the least angle of the triangle, that is, the angle whose measure is 30°.
2. The short leg is opposite to the least angle of the triangle, that is, the angle whose measure is 30°.
3. The length of the long leg is √3 times the length of the short leg.
4. The length of the hypotenuse is 2 times the length of the short leg.

If we know that the short leg has a length of L, then the lengths of the long leg and the hypotenuse are √3 · L and 2 · L, respectively.

To learn more on 30-60-90 right triangles: brainly.com/question/11751274

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