Calculate Missing Length of Right Triangle

Pythagorean Theorem:

\[ a = \sqrt{c^2 - b^2} \]

Side a (meters):

Definition: In a right triangle, the square of the hypotenuse (c) equals the sum of the squares of the other two sides (a and b).

Purpose: This calculator helps find the missing length of a right triangle when you know the other two sides.

The calculator uses the formula:

\[ a = \sqrt{c^2 - b^2} \]

Where:

Explanation: The hypotenuse must be longer than the other known side for a valid right triangle.

Details: These calculations are fundamental in construction, navigation, physics, and many engineering applications.

Tips: Enter the known side (b) and hypotenuse (c) in meters. Both values must be positive and c must be greater than b.

Q1: What if I know sides a and b but need c?
A: Use the formula \( c = \sqrt{a^2 + b^2} \). This calculator can be modified for that purpose.

Q2: Why does c have to be larger than b?
A: In a right triangle, the hypotenuse is always the longest side.

Q3: What units does this calculator use?
A: All measurements are in meters, but any consistent unit can be used.

Q4: Can this calculate angles?
A: No, this only calculates side lengths. Angle calculations require trigonometric functions.

Q5: What if I get an error or imaginary number?
A: This means your inputs don't form a valid right triangle (c ≤ b).