In a right triangle, if one angle is 30 degrees, what is the ratio of the length

In a right triangle, if one angle is 30 degrees, what is the ratio of the lengths of the sides opposite to the 30 degrees and 60 degrees?

In a right triangle, if one angle is 30 degrees, what is the ratio of the lengths of the sides opposite to the 30 degrees and 60 degrees?

Step 1: Understand that a right triangle has one angle that is 90 degrees.
Step 2: Recognize that if one angle is 30 degrees, the other non-right angle must be 60 degrees (since 30 + 60 + 90 = 180).
Step 3: Identify that this triangle is a special type called a 30-60-90 triangle.
Step 4: Learn the properties of a 30-60-90 triangle: the side opposite the 30-degree angle is the shortest and is often labeled as '1'.
Step 5: The side opposite the 60-degree angle is longer and is equal to '√3' times the length of the side opposite the 30-degree angle.
Step 6: Therefore, the ratio of the lengths of the sides opposite the 30 degrees and 60 degrees is 1:√3.

No concepts available.