Right Triangle Calculator
This Right Triangle Calculator helps you find a missing side in a right triangle using two known values. It can use two side lengths to find the hypotenuse with Pythagoras’ theorem, or use an angle and one side with a trigonometric ratio to find another side. Choose the mode that matches your problem, enter the given values, and the calculator will work out the missing side. It is a simple way to check answers, understand right triangle formulas, and practise basic trigonometry step by step.
Step-by-step method
- Identify what is given.
- Write the correct formula.
- Substitute the values and calculate.
Formulas:
Formula: hypotenuse from two sides
Formula: opposite from angle and adjacent
Example 1: Side & Side: a = 3, b = 4
Step 1 - Identify what is given.
In this problem: The given sides are a = 3 and b = 4.
Step 2 - Write the correct formula.
In this problem: Use the hypotenuse formula: c = √(a² + b²).
Step 3 - Substitute the values and calculate.
In this problem: Substitute: c = √(3² + 4²) = 5.
Final answer: c = 5
Example 2: Angle & Side: θ = 30°, adjacent = 5
Step 1 - Identify what is given.
In this problem: The given values are θ = 30° and adjacent = 5.
Step 2 - Write the correct formula.
In this problem: Use the tangent relationship: opposite = adjacent × tan(θ).
Step 3 - Substitute the values and calculate.
In this problem: Substitute: opposite = 5 × tan(30°) = 2.88675135.
Final answer: opposite = 2.88675135