In a right triangle, if one angle is 30 degrees, what is the measure of the angl

Practice Questions

Q1
In a right triangle, if one angle is 30 degrees, what is the measure of the angle opposite the side that is half the hypotenuse?
  1. 30 degrees
  2. 45 degrees
  3. 60 degrees
  4. 90 degrees

Questions & Step-by-Step Solutions

In a right triangle, if one angle is 30 degrees, what is the measure of the angle opposite the side that is half the hypotenuse?
  • Step 1: Identify that we have a right triangle with one angle measuring 30 degrees.
  • Step 2: Recall that in a right triangle, the angles add up to 180 degrees.
  • Step 3: Since one angle is 90 degrees (the right angle) and another is 30 degrees, calculate the third angle: 180 - 90 - 30 = 60 degrees.
  • Step 4: Recognize that this triangle is a special type called a 30-60-90 triangle.
  • Step 5: In a 30-60-90 triangle, the side opposite the 30-degree angle is always half the length of the hypotenuse.
  • Step 6: Therefore, the angle opposite the side that is half the hypotenuse is the 30-degree angle.
No concepts available.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely