In a right triangle, if one angle is 30 degrees and the hypotenuse is 10 cm, what is the length of the side opposite to the 30-degree angle? (2019)
Practice Questions
1 question
Q1
In a right triangle, if one angle is 30 degrees and the hypotenuse is 10 cm, what is the length of the side opposite to the 30-degree angle? (2019)
5 cm
10 cm
8 cm
7 cm
The side opposite to the 30-degree angle is half the hypotenuse, so it is 10/2 = 5 cm.
Questions & Step-by-step Solutions
1 item
Q
Q: In a right triangle, if one angle is 30 degrees and the hypotenuse is 10 cm, what is the length of the side opposite to the 30-degree angle? (2019)
Solution: The side opposite to the 30-degree angle is half the hypotenuse, so it is 10/2 = 5 cm.
Steps: 4
Step 1: Identify the right triangle and the given information: one angle is 30 degrees and the hypotenuse is 10 cm.
Step 2: Recall the property of a right triangle: in a 30-60-90 triangle, the side opposite the 30-degree angle is always half the length of the hypotenuse.
Step 3: Calculate the length of the side opposite the 30-degree angle by dividing the hypotenuse by 2: 10 cm / 2 = 5 cm.
Step 4: Conclude that the length of the side opposite the 30-degree angle is 5 cm.
