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In a right triangle, if one angle is 45 degrees, what is the ratio of the length

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Question: In a right triangle, if one angle is 45 degrees, 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 the 45-degree angles are equal, hence the ratio is 1:1.

In a right triangle, if one angle is 45 degrees, what is the ratio of the length

Practice Questions

Q1
In a right triangle, if one angle is 45 degrees, 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 degrees, what is the ratio of the lengths of the sides opposite and adjacent to this angle?
  • Right Triangle Properties – Understanding the properties of right triangles, specifically the 45-45-90 triangle, where the angles and side lengths have specific relationships.
  • Trigonometric Ratios – Knowledge of how to derive ratios of sides in right triangles based on the angles.
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