Omni Calculator Right Triangle

Right Triangle Formulas:

\[ c = \sqrt{a^2 + b^2} \] \[ \text{Area} = \frac{1}{2} \times a \times b \]

Hypotenuse (c):

Area:

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1. What is a Right Triangle Calculator?

Definition: This calculator computes the hypotenuse and area of a right triangle based on the lengths of its two legs.

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

2. How Does the Calculator Work?

The calculator uses the Pythagorean theorem and area formula:

\[ c = \sqrt{a^2 + b^2} \] \[ \text{Area} = \frac{1}{2} \times a \times b \]

Where:

\( a \) — Length of first leg (meters)
\( b \) — Length of second leg (meters)
\( c \) — Length of hypotenuse (meters)
\( \text{Area} \) — Area of the triangle (square meters)

Explanation: The hypotenuse is calculated using the Pythagorean theorem, while the area is half the product of the two legs.

3. Importance of Right Triangle Calculations

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

4. Using the Calculator

Tips: Enter the lengths of both legs in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Can I calculate with one leg and the hypotenuse?
A: This version calculates from two legs. For other combinations, we'd need a more advanced calculator.

Q2: What units does this calculator use?
A: The default is meters, but any consistent unit can be used (feet, inches, etc.).

Q3: Does this work for non-right triangles?
A: No, this calculator is specifically for right triangles (90° angle).

Q4: How precise are the results?
A: Results are shown to 3 decimal places, but internal calculations use higher precision.

Q5: Can I calculate angles with this tool?
A: This version calculates side lengths and area only. Angle calculations would require trigonometric functions.