1. What is an Isosceles Triangle?

An isosceles triangle is a triangle with two sides of equal length and two angles of equal measure. The angles opposite the equal sides are called base angles, and the angle between the equal sides is called the vertex angle.

2. How Does the Calculator Work?

The calculator uses the isosceles triangle angle formula:

Where:

• 180° — Sum of angles in any triangle
• Vertex Angle — The angle between the two equal sides
• Base Angle — Each of the two equal angles opposite the equal sides

Explanation: Since the sum of all angles in a triangle is 180°, subtracting the vertex angle and dividing by 2 gives each base angle.

3. Importance of Angle Calculation

Details: Calculating angles in isosceles triangles is fundamental in geometry, architecture, and engineering design where symmetrical properties are important.

4. Using the Calculator

Tips: Enter the vertex angle in degrees (must be between 0° and 180°). The calculator will compute the two equal base angles.

5. Frequently Asked Questions (FAQ)

Q1: What's the range for valid vertex angles?
A: In an isosceles triangle, the vertex angle must be between 0° and 180° (exclusive).

Q2: What if I know the base angles instead?
A: Vertex angle can be calculated as 180° - (2 × base angle).

Q3: Can this calculator work for equilateral triangles?
A: Yes, an equilateral triangle is a special case where all angles are 60°.

Q4: How precise are the results?
A: Results are rounded to one decimal place for practical use.

Q5: Can this be used for right isosceles triangles?
A: Yes, for a right isosceles triangle, the vertex angle is 90° and base angles are each 45°.