How to Calculate Hypotenuse (H) from Length (L) and Radius (r) Using the Pythagorean Theorem

Learn how to find the hypotenuse (H) using the Pythagorean theorem with given length (L) and radius (r) in a right triangle.

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To find H when given L and r in the context of a right triangle, use the Pythagorean theorem. Specifically, if H represents the hypotenuse, H = √(L² + r²). For example, if L is 3 and r is 4, H would be √(3² + 4²) = √(9 + 16) = 5.

FAQs & Answers

  1. What is the Pythagorean theorem? The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (H) is equal to the sum of the squares of the other two sides (L and r).
  2. How do you use the Pythagorean theorem? To use the Pythagorean theorem, you can plug in the lengths of the two shorter sides (L and r) into the formula H = √(L² + r²) to find the hypotenuse.
  3. Can the Pythagorean theorem be used for any type of triangle? No, the Pythagorean theorem only applies to right triangles, where one angle measures 90 degrees.
  4. What do L and r represent in the context of the formula? In the formula, L represents one leg of the right triangle and r represents the other leg, while H is the hypotenuse.

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