In the diagram, segment dc is tangent to the circle, ac = 12 cm, and bd = 2 square root of 34 cm. What is ad? ... a. 10 cm. b. 12 cm. c. 2 square root of 61 cm. d. 130 cm

We will use the Pythagorean Theorem:

CD² + 6² = (2√34) ²

CD² + 36 = 136

CD² = 136 - 36

CD² = 100, CD = 10

And then again:

AD² = 10² + 12²

AD² = 100 + 144

AD² = 244

AD = √244 = √ (4·61) = 2√61

Answer: C) 2 square root of 61