Question

A nickel, a dime, and a quarter are touching as shown. Tangents are drawn from point A to both sides of each coin. In a short paragraph, explain what you can conclude about the four tangent segments?

Answer 1

The four tangent segments are congruent

Explanation:

we know that

The Two-Tangent Theorem states that if two tangent segments are drawn to one circle from the same external point, then they are congruent

so

In this problem

Applying the two tangent Theorem we have that the four tangent segments are congruent