How to find the perimeter of a triangle given a lot of tangent lines

The video tutorial covers the properties of tangent lines to a circle, emphasizing that a tangent line touches the circle at one point and forms a 90-degree angle with the radius. It explains that if two tangent lines originate from the same external point, they are congruent. The tutorial then demonstrates how to calculate the perimeter of a triangle formed by tangent lines, using given lengths and solving for unknowns. The final perimeter is calculated by summing the lengths of all sides, and the solution is verified.

What is the angle formed between a tangent line and the radius of a circle at the point of tangency?

• 90 degrees

• 180 degrees

• 60 degrees

• 45 degrees

If two tangent lines originate from the same external point, what can be said about their lengths?

• They are perpendicular

• One is double the other

• They are equal

• They are different

In the context of the problem discussed, what is the significance of the points outside the circle?

• They are irrelevant to the problem

• They are the center of the circle

• They are points where tangent lines intersect

• They are points from which tangent lines are drawn

How do you determine the perimeter of a triangle formed by tangent lines from external points?

• By multiplying the lengths of the sides

• By adding the lengths of the sides

• By dividing the lengths of the sides

• By subtracting the lengths of the sides

What is the calculated perimeter of the triangle in the problem discussed?

• 60

• 45

• 50

• 52