Right Triangle Calculator Angles Sides

Right Triangle Formulas:

\[ \theta = \arctan\left(\frac{\text{opposite}}{\text{adjacent}}\right) \] \[ \text{side} = \text{hypotenuse} \times \sin(\theta) \]

Opposite Side:

meters

Adjacent Side:

meters

Hypotenuse:

meters

Angle θ:

degrees

Opposite Side: meters

Adjacent Side: meters

Hypotenuse: meters

Angle θ: degrees

Definition: This calculator computes missing angles and sides in a right triangle using trigonometric functions.

Purpose: It helps students, engineers, and designers solve right triangle problems quickly and accurately.

The calculator uses trigonometric formulas:

\[ \theta = \arctan\left(\frac{\text{opposite}}{\text{adjacent}}\right) \] \[ \text{side} = \text{hypotenuse} \times \sin(\theta) \]

Where:

Explanation: The calculator uses any two known values to compute the remaining sides and angle.

Details: Right triangle trigonometry is fundamental in construction, navigation, physics, and engineering applications.

Tips: Enter any two known values (two sides, or one side and one angle) to calculate the remaining values.

Q1: What is the Pythagorean theorem?
A: It states that in a right triangle: hypotenuse² = opposite² + adjacent².

Q2: How do you convert degrees to radians?
A: Multiply degrees by π/180. The calculator handles this conversion automatically.

Q3: What if I know two angles?
A: In a right triangle, knowing one angle (other than 90°) means you know all angles (since angles sum to 180°).

Q4: Can I use this for non-right triangles?
A: No, you would need the Law of Sines or Cosines for oblique triangles.

Q5: What's the range for angle θ?
A: In a right triangle, θ must be between 0° and 90° (exclusive).