Find Missing Side Length Right Triangle

Pythagorean Theorem:

\[ c = \sqrt{a^2 + b^2} \]

(For finding missing leg: \( a = \sqrt{c^2 - b^2} \))

Missing Side Length:

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1. What is a Right Triangle Missing Side Calculator?

Definition: This calculator finds the length of the missing side in a right triangle using the Pythagorean theorem.

Purpose: It helps students, engineers, and DIYers quickly determine unknown side lengths in right-angled triangles.

2. How Does the Calculator Work?

The calculator uses the Pythagorean theorem:

\[ c = \sqrt{a^2 + b^2} \]

For missing legs:

\[ a = \sqrt{c^2 - b^2} \]

Where:

\( c \) — Hypotenuse (longest side)
\( a \) and \( b \) — Legs of the triangle

3. Importance of Right Triangle Calculations

Details: Right triangle calculations are fundamental in construction, navigation, engineering, and many STEM fields.

4. Using the Calculator

Tips: Enter the lengths of two known sides, select whether you're finding a leg or hypotenuse, and click calculate.

Note: The hypotenuse must always be the longest side in a right triangle.

5. Frequently Asked Questions (FAQ)

Q1: What if I enter two legs instead of a leg and hypotenuse?
A: The calculator will automatically calculate the hypotenuse if you select "Hypotenuse" as the missing side.

Q2: Does this work for non-right triangles?
A: No, this calculator only works for right triangles. For other triangles, you would need different formulas.

Q3: What units should I use?
A: The calculator works with any consistent units (meters, feet, etc.), just ensure both inputs use the same unit.

Q4: Why does my calculation show NaN?
A: This happens if you try to find a leg but enter values where the hypotenuse is smaller than one of the legs.

Q5: How accurate are the results?
A: Results are accurate to 3 decimal places, but real-world measurements may have additional precision limits.