Calculate Triangle Sides Right Angle

Right Angle Triangle Formula:

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

Side (a) Length:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is a Right Angle Triangle Side Calculator?

Definition: This calculator computes the length of one side (a) of a right-angled triangle when you know the hypotenuse (c) and the other side (b).

Purpose: It helps students, engineers, and construction professionals solve right triangle problems quickly and accurately.

2. How Does the Calculator Work?

The calculator uses the Pythagorean theorem:

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

Where:

\( a \) — Unknown side length (meters)
\( b \) — Known side length (meters)
\( c \) — Hypotenuse length (meters)

Explanation: The square of the hypotenuse equals the sum of the squares of the other two sides in a right triangle.

3. Importance of Right Triangle Calculations

Details: Right triangle calculations are fundamental in geometry, construction, navigation, and many engineering applications.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What if I know sides a and b but need c?
A: Use \( c = \sqrt{a^2 + b^2} \) instead.

Q2: What units does this calculator use?
A: The calculator uses meters, but any consistent unit can be used.

Q3: What if c is not greater than b?
A: The hypotenuse must be the longest side in a right triangle. If c ≤ b, check your measurements.

Q4: Can I calculate angles with this?
A: No, this only calculates side lengths. For angles, use trigonometric functions.

Q5: How precise are the results?
A: Results are shown to 3 decimal places for practical precision.