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In a right triangle, if the angles are 30° and 60°, what is the ratio of the len

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Question: In a right triangle, if the angles are 30° and 60°, what is the ratio of the lengths of the sides opposite these angles?

Options:

  1. 1:√3
  2. 1:2
  3. 1:1
  4. 1:√2

Correct Answer: 1:√3

Solution:

The sides opposite 30° and 60° are in the ratio 1:√3.

In a right triangle, if the angles are 30° and 60°, what is the ratio of the len

Practice Questions

Q1
In a right triangle, if the angles are 30° and 60°, what is the ratio of the lengths of the sides opposite these angles?
  1. 1:√3
  2. 1:2
  3. 1:1
  4. 1:√2

Questions & Step-by-Step Solutions

In a right triangle, if the angles are 30° and 60°, what is the ratio of the lengths of the sides opposite these angles?
  • Properties of Right Triangles – In a right triangle, the angles and their corresponding opposite sides have specific ratios, particularly for the 30°-60°-90° triangle.
  • Trigonometric Ratios – Understanding the relationship between angles and side lengths in right triangles, specifically using sine and cosine functions.
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