Tangent-Secant theorem calculator

Theorem in geometry is a proof - an argument establishing a property. A theorem is a statement that proves some property and requiring establishment. Theorems are also called lemmas, properties, consequences, rules, signs, affirmations.

The tangent theorem is a fundamental theorem in geometry that relates the lengths of the sides of a right triangle to the lengths of its tangent segments. If you're looking to find the lengths of the tangent segments in a right triangle or to verify the theorem, our tangent theorem calculator can help.

Tangent Theorem Formula

The tangent theorem states that if a line is drawn from a point outside a circle to a point on the circle where the line is tangent to the circle, then the length of the line segment from the point of tangency to the point where the line intersects the radius of the circle is equal to the square root of the difference between the square of the length of the line segment from the center of the circle to the point outside the circle and the square of the radius of the circle.

The formula for the tangent theorem is:

l^2 = d^2 - r^2

where l and r are the lengths of the legs of the right triangle, and d is the length of the hypotenuse.

To use our tangent theorem calculator enter the length of two known sides and our calculator will automatically calculate the unknown value for you.

Conclusion

The tangent theorem is a powerful tool in geometry, and our tangent theorem calculator makes it easy to use. With the formula and calculator on this webpage, you can easily find the lengths of the tangent segments in a right triangle or verify the theorem. Try it out for yourself and see how easy it can be!