In a right triangle, if one angle is 30 degrees and the hypotenuse is 10 units,

Practice Questions

Q1
In a right triangle, if one angle is 30 degrees and the hypotenuse is 10 units, what is the length of the side opposite the 30-degree angle?
  1. 5 units
  2. 10 units
  3. √3 units
  4. √2 units

Questions & Step-by-Step Solutions

In a right triangle, if one angle is 30 degrees and the hypotenuse is 10 units, what is the length of the side opposite the 30-degree angle?
  • Step 1: Identify the type of triangle. Since one angle is 30 degrees, this is a 30-60-90 triangle.
  • Step 2: Recall the property of a 30-60-90 triangle. The side opposite the 30-degree angle is always half the length of the hypotenuse.
  • Step 3: Find the length of the hypotenuse. In this case, the hypotenuse is given as 10 units.
  • Step 4: Calculate the length of the side opposite the 30-degree angle by dividing the hypotenuse by 2. So, 10 units / 2 = 5 units.
  • Step 5: Conclude that the length of the side opposite the 30-degree angle is 5 units.
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