1. What is the Isosceles Triangle Side Length Formula?

The formula calculates the length of the equal sides (legs) of an isosceles triangle when you know the base and height. This is derived from the Pythagorean theorem applied to one of the two congruent right triangles formed by the height.

2. How Does the Calculator Work?

The calculator uses the isosceles triangle formula:

Where:

• Base — Length of the unequal side of the triangle
• Height — Perpendicular distance from base to apex

Explanation: The height divides the isosceles triangle into two congruent right triangles, allowing us to use the Pythagorean theorem to find the leg length.

3. Importance of Leg Length Calculation

Details: Knowing the side lengths is essential in geometry, construction, and design applications where precise measurements of triangular components are needed.

4. Using the Calculator

Tips: Enter the base and height in consistent length units. Both values must be positive numbers. The calculator will provide the length of the equal sides in the same units.

5. Frequently Asked Questions (FAQ)

Q1: Can I use this for equilateral triangles?
A: Yes, since an equilateral triangle is a special case of isosceles triangle where all sides are equal.

Q2: What if I know the legs and need the base?
A: You can rearrange the formula: Base = 2 × √(leg² - height²)

Q3: Does this work for right isosceles triangles?
A: Yes, but for right isosceles triangles, the legs are equal and the height would be equal to half the base.

Q4: What units should I use?
A: Any consistent length units (cm, inches, meters, etc.) can be used as long as both base and height are in the same units.

Q5: How precise is this calculation?
A: The calculation is mathematically exact, though practical measurements may have precision limitations.