Quandaries and Queries

1. Jennifer
2. Secondary School
2. Student

I need help with this problem: Square ABCD has side length 2. A semicircle with diameter AB is constructed inside the square, and the tangent to the semicircle from C intersects side AD at E. What is the exact length of CE?

Hi Jennifer,

Use similar right triangles plus the fact that the two tangents to a circle from a point have the same length.


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