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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 legs?

Options:

  1. 1:2
  2. 1:1
  3. 2:1
  4. √2:1

Correct Answer: 1:1

Solution: 

In a 45-45-90 triangle, the legs are equal, so 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 legs?
  1. 1:2
  2. 1:1
  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 legs?
  • 45-45-90 Triangle Properties – In a 45-45-90 triangle, the two legs are of equal length, leading to a ratio of 1:1.
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