Question

Which is the correct ratio of sides for a 30-60-90 triangle

Answer 1

-220 - 16 x 32

Answer 2

1:√3:2

Answer 3

[AI-generated answer — Explain Bot]

The correct ratio of sides for a 30-60-90 triangle is often represented as 1 : √3 : 2. In this triangle, the angles measure 30 degrees, 60 degrees, and 90 degrees, respectively.

To understand how to obtain this ratio, let's consider the following steps:

1. Start with an equilateral triangle: Begin with an equilateral triangle in which all three sides are equal and all three angles are 60 degrees.

2. Divide the equilateral triangle: Draw an altitude from one vertex to the opposite side, creating a right triangle. The altitude divides the equilateral triangle into two congruent 30-60-90 triangles.

3. Determine the ratios: The ratio of the short leg to the hypotenuse in a 30-60-90 triangle is 1 : 2. Additionally, the ratio of the long leg to the hypotenuse is √3 : 2.

Therefore, the correct ratio of sides for a 30-60-90 triangle is 1 : √3 : 2.