Right Triangle Calculator
Solve right triangles - find missing sides, angles, area, and perimeter.
Pythagorean Theorem: a^2 + b^2 = c^2\nArea = (1/2) * a * b\nPerimeter = a + b + c\nAngle A = atan(a/b) * 180/PI\nAngle B = atan(b/a) * 180/PI
Example:\nSide A = 3\nSide B = 4\n\nSide C = sqrt(3^2 + 4^2) = sqrt25 = 5\nArea = (1/2) * 3 * 4 = 6\nPerimeter = 3 + 4 + 5 = 12\nAngle A = atan(3/4) ≈ 36.87deg\nAngle B = atan(4/3) ≈ 53.13deg
What is a right triangle?
A triangle with one 90deg angle. The longest side (opposite the right angle) is the hypotenuse.
What is Pythagorean theorem?
a^2 + b^2 = c^2, where a and b are legs and c is the hypotenuse. Used to find missing side lengths.
How do you find area?
Area = (1/2) * base * height. For right triangles, use the two legs: Area = (1/2) * a * b.
How do you find angles?
Use trigonometry: tan(A) = opposite/adjacent. Angle A = atan(a/b), Angle B = atan(b/a), Angle C = 90deg.
What are real-world uses?
Construction (roof pitch, ramps), navigation, surveying, and any situation involving perpendicular measurements.
🔗 Related Calculators
📐 Formula
Pythagorean Theorem: a^2 + b^2 = c^2\nArea = (1/2) * a * b\nPerimeter = a + b + c\nAngle A = atan(a/b) * 180/PI\nAngle B = atan(b/a) * 180/PI
📝 Example Calculation
Example:\nSide A = 3\nSide B = 4\n\nSide C = sqrt(3^2 + 4^2) = sqrt25 = 5\nArea = (1/2) * 3 * 4 = 6\nPerimeter = 3 + 4 + 5 = 12\nAngle A = atan(3/4) ≈ 36.87deg\nAngle B = atan(4/3) ≈ 53.13deg
❓ Frequently Asked Questions
What is a right triangle?▼
A triangle with one 90deg angle. The longest side (opposite the right angle) is the hypotenuse.
What is Pythagorean theorem?▼
a^2 + b^2 = c^2, where a and b are legs and c is the hypotenuse. Used to find missing side lengths.
How do you find area?▼
Area = (1/2) * base * height. For right triangles, use the two legs: Area = (1/2) * a * b.
How do you find angles?▼
Use trigonometry: tan(A) = opposite/adjacent. Angle A = atan(a/b), Angle B = atan(b/a), Angle C = 90deg.
What are real-world uses?▼
Construction (roof pitch, ramps), navigation, surveying, and any situation involving perpendicular measurements.