Math

Hypotenuse Calculator

Find the hypotenuse of a right triangle from its two legs.

Calculated Output

Hypotenuse 13

Angle opposite a (°) 22.62

Formula: c = √(a² + b²)

Step-by-Step Breakdown

1. Values used:

2. Leg a = 5

3. Leg b = 12

5. Hypotenuse = 13

6. Angle opposite a = 22.62°

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The math behind it

By the Pythagorean theorem, c = √(a² + b²). The angle opposite leg a is arctan(a ÷ b).

Legs 5 and 12 → hypotenuse √169 = 13.

Is the hypotenuse always the longest side?

Yes — it sits opposite the 90° angle, the largest angle in a right triangle.