My Learning Cart
?
Categories
Account

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

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: 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?

Options:

  1. 5 units
  2. 10 units
  3. √3 units
  4. √2 units

Correct Answer: 5 units

Solution: 

In a 30-60-90 triangle, the side opposite the 30-degree angle is half the hypotenuse. Thus, it is 10/2 = 5 units.

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.
  • 30-60-90 Triangle Properties – In a 30-60-90 triangle, the lengths of the sides are in a specific ratio: the side opposite the 30-degree angle is half the hypotenuse, the side opposite the 60-degree angle is the hypotenuse multiplied by √3/2.
Soulshift Feedback ×

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

Not likely Very likely
Home Practice Performance eBooks