math geometry

Right Triangle Calculator (SOH-CAH-TOA & Trigonometry)

Fundamental trigonometry tool. Given legs $a$ and $b$, computes hypotenuse $c = \sqrt{a^2 + b^2}$, Area $A = \frac{a \times b}{2}$, and angles via SOH-CAH-TOA.

Input Parameters

Leg a

Leg b

Instant Calculation Result

Estimated Output

Active in Real-Time

Adjust values on the left to calculate live results.

Formula: Hypotenuse: c = √(a² + b²). Area: A = (a * b) / 2. Angle α = atan(a / b) * (180/π). Angle β = 90° - α.

In-Depth Guide & Mathematical Methodology

📐 SOH-CAH-TOA Trigonometric Ratios

Sine (sin): Opposite / Hypotenuse (SOH).

Cosine (cos): Adjacent / Hypotenuse (CAH).

Tangent (tan): Opposite / Adjacent (TOA).

Frequently Asked Questions (FAQ)

What is the Right Triangle Calculator (SOH-CAH-TOA & Trigonometry) and how does it work?

Fundamental trigonometry tool. Given legs $a$ and $b$, computes hypotenuse $c = \sqrt{a^2 + b^2}$, Area $A = \frac{a \times b}{2}$, and angles via SOH-CAH-TOA.

How do I use this Right Triangle Calculator (SOH-CAH-TOA & Trigonometry)?

Enter Leg a (vertical). Enter Leg b (horizontal). View Hypotenuse c, Area, and acute Angles $\alpha$ and $\beta$ in degrees.

What mathematical formula is used in this calculation?

Hypotenuse: c = √(a² + b²). Area: A = (a * b) / 2. Angle α = atan(a / b) * (180/π). Angle β = 90° - α.

Is the Right Triangle Calculator (SOH-CAH-TOA & Trigonometry) on FindCalculator free to use?

Yes, all 330+ interactive tools on FindCalculator.online are 100% free, run directly in your browser without registration, and do not store your private calculation data.

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