Right Triangle Calculator | ABC with ∠BAC = 90°

Pythagorean Theorem:

\[ BC = \sqrt{AB^2 + AC^2} \]

Hypotenuse BC (meters):

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1. What is a Right Triangle Calculator?

Definition: This calculator computes the hypotenuse of a right-angled triangle ABC where angle BAC is 90°.

Purpose: It helps students, engineers, and construction professionals quickly determine the length of the hypotenuse when the other two sides are known.

2. How Does the Calculator Work?

The calculator uses the Pythagorean theorem:

\[ BC = \sqrt{AB^2 + AC^2} \]

Where:

\( BC \) — Hypotenuse (meters)
\( AB \) — One leg of the triangle (meters)
\( AC \) — Other leg of the triangle (meters)

Explanation: In a right-angled triangle, the square of the hypotenuse equals the sum of squares of the other two sides.

3. Importance of Right Triangle Calculations

Details: These calculations are fundamental in geometry, construction, navigation, and various engineering applications where right angles are involved.

4. Using the Calculator

Tips: Enter the lengths of sides AB and AC in meters. Both values must be greater than 0.

5. Frequently Asked Questions (FAQ)

Q1: What if I know the hypotenuse and one side?
A: You can rearrange the formula to find the missing side: \( AB = \sqrt{BC^2 - AC^2} \)

Q2: Does this work for non-right triangles?
A: No, the Pythagorean theorem only applies to right-angled triangles.

Q3: What units should I use?
A: The calculator uses meters, but any consistent unit will work as long as all sides use the same unit.

Q4: How accurate are the results?
A: Results are accurate to 3 decimal places, sufficient for most practical applications.

Q5: Can I calculate angles with this?
A: This calculator only finds side lengths. Angle calculations would require trigonometric functions.