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In a right triangle, if one angle is 45°, what is the ratio of the lengths of th

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Question: In a right triangle, if one angle is 45°, what is the ratio of the lengths of the sides opposite and adjacent to this angle?

Options:

  1. 1:1
  2. 1:√2
  3. √2:1
  4. 2:1

Correct Answer: 1:1

Solution: 

In a 45°-45°-90° triangle, the sides opposite and adjacent are equal, so the ratio is 1:1.

In a right triangle, if one angle is 45°, what is the ratio of the lengths of th

Practice Questions

Q1
In a right triangle, if one angle is 45°, what is the ratio of the lengths of the sides opposite and adjacent to this angle?
  1. 1:1
  2. 1:√2
  3. √2:1
  4. 2:1

Questions & Step-by-Step Solutions

In a right triangle, if one angle is 45°, what is the ratio of the lengths of the sides opposite and adjacent to this angle?
  • Properties of Right Triangles – Understanding the characteristics of 45°-45°-90° triangles, where the angles and side lengths have specific relationships.
  • Trigonometric Ratios – Knowledge of how to determine the ratios of sides in right triangles based on angle measures.
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