Tangents of a Circle In the diagram, FG is tangent to the circle at point G. GH is the diameter, CJ = 5 mm, FG = 7 mm, and ΔCGJ is an equilateral triangle.
a) What is the length of the diameter? Justify your answer.
b) Is ΔGHJ a right triangle? Justify your answer.
c) What is the length of chord HJ? Explain your reasoning. Express your answer to the nearest tenth of a millimeter.
d) What is the measure of ∠FGH? Justify your answer.
e) What is the length of FH? Explain your reasoning. Express your answer to the nearest tenth of a millimeter.