How to Calculate Hypotenuse r from Length l and Height h

Learn how to find the hypotenuse r using length l and height h with the Pythagorean theorem.

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To find r if l and h are given, you typically need a specific formula or context. For instance, if you are dealing with the formula for the diagonal of a rectangle where l is length and h is height, you could find the hypotenuse r using the Pythagorean theorem: r = √(l² + h²).

FAQs & Answers

  1. What is the Pythagorean theorem? The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
  2. How do I apply the formula for finding r? To apply the formula r = √(l² + h²), simply square the values of l and h, add them together, and then take the square root of the sum to find r.
  3. What are some examples of using the Pythagorean theorem? Examples include calculating the diagonal of a rectangle or finding distances in navigation.

Watch More

For more insights into mathematical formulas and geometry, check out our other videos on the Pythagorean theorem and related concepts.

  1. 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.
  2. How to Calculate the Radius of a Cone Using Height and Slant Height Learn how to find the radius of a cone using height and slant height with the Pythagorean theorem.
  3. How to Calculate Radius (r) in Geometry Equations Learn how to accurately calculate the radius in geometry equations, including the circular equation for r.