In Right Triangle ABC Angle B 90

Pythagorean Theorem:

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

Hypotenuse AC (meters):

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1. What is a Right Triangle Calculator?

Definition: This calculator computes the hypotenuse (AC) of a right-angled triangle ABC where angle B is 90 degrees, using the lengths of the other two sides (AB and BC).

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:

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

Where:

\( AC \) — Hypotenuse (meters)
\( AB \) — First side (meters)
\( BC \) — Second side (meters)

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

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 sides AB and BC in meters. Both values must be > 0. The calculator will compute the hypotenuse AC.

5. Frequently Asked Questions (FAQ)

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

Q2: Does this work for non-right triangles?
A: No, for other triangles you would need to use the Law of Cosines or Law of Sines.

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: Not directly, but you could use trigonometric functions (arctan) on the side ratios to find angles.