Is it a Right Triangle Calculator
Verify if your triangle is a right triangle using the Pythagorean theorem and angle measurements
Check if Triangle is Right Angled
Right Triangle Check Results
Example Calculations
Classic 3-4-5 Right Triangle
Sides: 3, 4, 5
Check: 3² + 4² = 9 + 16 = 25 = 5²
Result: ✓ Right Triangle
Right Angle: Opposite the side of length 5
Non-Right Triangle
Sides: 2, 3, 4
Check: 2² + 3² = 4 + 9 = 13 ≠ 16 = 4²
Result: ✗ Not a Right Triangle
Type: Scalene oblique triangle
Right Triangle Properties
Right Angle
One interior angle equals exactly 90°
Pythagorean Theorem
a² + b² = c² (hypotenuse)
Complementary Angles
Other two angles sum to 90°
Famous Right Triangles
3-4-5 Triangle
Classic Pythagorean triple
5-12-13 Triangle
Larger Pythagorean triple
45-45-90 Triangle
Isosceles right triangle
30-60-90 Triangle
Special angle triangle
Verification Tips
Square the three sides and check if a² + b² = c²
The longest side should be the hypotenuse
Check if any angle equals exactly 90°
Remember: small rounding errors are normal
Understanding Right Triangles
What is a Right Triangle?
A right triangle is a triangle with one interior angle measuring exactly 90 degrees (a right angle). This creates a special relationship between the three sides known as the Pythagorean theorem.
Key Characteristics
- •One angle is exactly 90°
- •The other two angles are complementary (sum to 90°)
- •The side opposite the right angle is the hypotenuse
- •The hypotenuse is always the longest side
Pythagorean Theorem
a² + b² = c²
- a, b: Lengths of the two shorter sides (legs)
- c: Length of the hypotenuse (longest side)
Verification Methods
- 1. Side lengths: Check if Pythagorean theorem holds
- 2. Angles: Verify one angle equals 90°
- 3. Trigonometry: Use sine, cosine, tangent ratios