1. What is the Right Triangle Hypotenuse Formula?

The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

2. How Does the Calculator Work?

The calculator uses the Pythagorean theorem:

Where:

• \( a \) — Length of one side (m)
• \( b \) — Length of other side (m)
• \( c \) — Length of hypotenuse (m)

Explanation: This formula calculates the longest side of a right triangle when the lengths of the other two sides are known.

3. Importance of Hypotenuse Calculation

Details: Calculating the hypotenuse is fundamental in geometry, construction, navigation, and various engineering applications where right angles are involved.

4. Using the Calculator

Tips: Enter the lengths of both sides in meters. Both values must be positive numbers. The result will be the length of the hypotenuse in meters.

5. Frequently Asked Questions (FAQ)

Q1: Does this work for any triangle?
A: No, this formula only works for right-angled triangles.

Q2: What if I know the hypotenuse and one side?
A: You can rearrange the formula to find the missing side: \( a = \sqrt{c^2 - b^2} \).

Q3: Does the unit have to be meters?
A: No, you can use any unit as long as both sides use the same unit.

Q4: How accurate is the calculation?
A: The calculation is mathematically precise, though practical measurements may have limitations.

Q5: Can this be used in 3D space?
A: Yes, the concept extends to 3D with the formula \( d = \sqrt{a^2 + b^2 + c^2} \).