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In a right triangle, if one angle is 45 degrees and the hypotenuse is 10 cm, wha

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Question: In a right triangle, if one angle is 45 degrees and the hypotenuse is 10 cm, what is the length of each leg?

Options:

  1. 5√2 cm
  2. 10 cm
  3. 5 cm
  4. 7.5 cm

Correct Answer: 5√2 cm

Solution: 

In a 45-45-90 triangle, the legs are equal and each leg = hypotenuse/√2 = 10/√2 = 5√2 cm.

In a right triangle, if one angle is 45 degrees and the hypotenuse is 10 cm, wha

Practice Questions

Q1
In a right triangle, if one angle is 45 degrees and the hypotenuse is 10 cm, what is the length of each leg?
  1. 5√2 cm
  2. 10 cm
  3. 5 cm
  4. 7.5 cm

Questions & Step-by-Step Solutions

In a right triangle, if one angle is 45 degrees and the hypotenuse is 10 cm, what is the length of each leg?
  • 45-45-90 Triangle Properties – In a 45-45-90 triangle, the legs are equal in length, and each leg can be calculated using the formula leg = hypotenuse/√2.
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