1. What is a Right Triangle?

Definition: A right triangle (or right-angled triangle) is a triangle with one 90-degree angle. The side opposite the right angle is called the hypotenuse.

Properties: The Pythagorean theorem applies: a² + b² = c² where c is the hypotenuse.

2. Right Triangle Calculator Features

This calculator can:

• Calculate the hypotenuse when both legs are known
• Calculate a missing leg when the hypotenuse and one leg are known
• Handle any two known values to find the third

3. Importance of Right Triangles

Applications: Right triangles are fundamental in trigonometry, construction, navigation, and many areas of mathematics and physics.

4. Using the Calculator

Instructions: Enter any two known values (leave the third field empty) and click Calculate to find the missing side.

5. Frequently Asked Questions (FAQ)

Q1: Why is it called a right triangle?
A: Because it contains one right (90-degree) angle.

Q2: What's the longest side called?
A: The hypotenuse, always opposite the right angle.

Q3: Can a right triangle have two right angles?
A: No, the sum of angles in any triangle is 180°, so only one angle can be 90°.

Q4: What are the other two angles in a right triangle?
A: They are acute angles (less than 90°) that sum to 90°.

Q5: How is this different from other triangles?
A: Right triangles have special properties and formulas (like Pythagorean theorem) that don't apply to other triangles.