# Angle Bisector Calculator - Calculate the Angle Bisector of a Triangle

 Line of "r" equation = A1X + B1Y + C1 Line of "s" equation = A2X + B2Y + C2
 Angle Bisector

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The Angle Bisector Calculator is a useful tool for finding the angle bisector of a triangle. In this tutorial, we'll show you how to use the calculator and provide you with some examples to help you understand how it works.

## Step 1: Enter the Lengths of the Triangle Sides

The first step is to enter the lengths of the three sides of the triangle into the input boxes on the calculator. Make sure to enter the values in the correct format and with the appropriate units.

## Step 2: Calculate the Angle Bisector

Once you've entered the lengths of the three sides of the triangle, click the "Calculate" button on the calculator. Our Angle Bisector Calculator will then display the length of the angle bisector of the triangle.

BD = (2ab cos(θ/2)) / (a + b)

As you can see from the formula above, the length of the angle bisector of a triangle is calculated using the lengths of the two sides adjacent to the angle and the cosine of half the angle.

## Examples

Let's look at some examples to see how the Angle Bisector Calculator works:

• A triangle with sides of length 3, 4, and 5 has an angle bisector of length approximately 2.4.
• A triangle with sides of length 7, 8, and 10 has an angle bisector of length approximately 5.1.
• A triangle with sides of length 5, 12, and 13 has an angle bisector of length approximately 4.08.

As you can see from these examples, our Angle Bisector Calculator can calculate the length of the angle bisector of a triangle quickly and accurately.

## Conclusion

The Angle Bisector Calculator is a valuable tool for finding the length of the angle bisector of a triangle. By following the simple steps outlined in this tutorial, you can quickly and accurately calculate the length of the angle bisector using the lengths of the two sides adjacent to the angle and the cosine of half the angle. Try it out for yourself and see how easy it is!

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