Omni Right Triangle Calculator

Right Triangle Formulas:

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

Hypotenuse (c):

Area:

Definition: This calculator computes the hypotenuse and area of a right triangle given its two perpendicular sides (legs).

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

The calculator uses two fundamental formulas:

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

Where:

Explanation: The Pythagorean theorem calculates the hypotenuse, while the area formula uses half the product of the legs.

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

Tips: Enter the lengths of both perpendicular sides in meters. All values must be > 0.

Q1: What if I know the hypotenuse and one side?
A: Rearrange the Pythagorean theorem: \( b = \sqrt{c^2 - a^2} \).

Q2: Does this work for non-right triangles?
A: No, these formulas only apply to right triangles. Use the Law of Cosines for others.

Q3: What units should I use?
A: The calculator uses meters, but any consistent unit will work (cm, ft, etc.).

Q4: How precise are the results?
A: Results are shown to 3 decimal places, but exact precision depends on input accuracy.

Q5: Can I calculate angles with this?
A: No, this calculator only computes side lengths and area. Use trigonometry for angles.