1. What Triangle Has a 90 Degree Angle?

Definition: A right triangle (or right-angled triangle) is a triangle with one 90° angle and two acute angles.

Purpose: Right triangles are fundamental in geometry and have practical applications in construction, navigation, and physics.

2. How Does the Calculator Work?

The calculator uses the Pythagorean theorem:

Where:

• \( c \) — Hypotenuse (side opposite the right angle)
• \( a \) and \( b \) — Other two sides (legs)

Explanation: Enter any two sides to calculate the third side of a right triangle.

3. Importance of Right Triangles

Details: Right triangles are used in trigonometry, architecture, engineering, and many real-world applications like calculating distances.

4. Using the Calculator

Tips: Enter any two known sides (leave one field blank) to calculate the missing side. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What makes a triangle a right triangle?
A: A right triangle has exactly one 90-degree angle, with the side opposite this angle called the hypotenuse.

Q2: Can I use this for non-right triangles?
A: No, the Pythagorean theorem only works for right triangles. For other triangles, use the Law of Cosines.

Q3: What units should I use?
A: Any consistent unit (meters, feet, etc.) can be used as long as all sides use the same unit.

Q4: How accurate are the results?
A: Results are mathematically precise based on the inputs, displayed to 3 decimal places.

Q5: What if I get an error?
A: Ensure you've entered exactly two sides and that the values could form a valid right triangle (e.g., hypotenuse must be the longest side).