In a right triangle, if one angle is 30 degrees, what is the ratio of the length
Practice Questions
Q1
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 90 degrees angles?
1:2
1:√3
1:1
2:1
Questions & Step-by-Step Solutions
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 90 degrees angles?
Step 1: Understand that in a right triangle, one angle is 90 degrees.
Step 2: Recognize that if one angle is 30 degrees, the other angle must be 60 degrees (since 30 + 60 + 90 = 180).
Step 3: Identify the sides of the triangle: the side opposite the 30-degree angle is the shortest side.
Step 4: In a special type of triangle called a 30-60-90 triangle, the side opposite the 30-degree angle is half the length of the hypotenuse (the side opposite the 90-degree angle).
Step 5: Therefore, the ratio of the length of the side opposite the 30-degree angle to the length of the side opposite the 90-degree angle (the hypotenuse) is 1:2.
