In a right triangle G E F, the hypotenuse G F is 16 and H F is 12. E H is the altitude of triangle G E F. Find the measure of the altitude drawn to the hypotenuse.
Choices:
A:2 \sqrt { 3 }
B:2 \sqrt { 6 }
C:4 \sqrt { 3 }
D:4 \sqrt { 6 }
Please directly answer the question and provide the correct option letter, e.g., A, B, C, D.
Question: In a right triangle G E F, the hypotenuse G F is 16 and H F is 12. E H is the altitude of triangle G E F. Find the measure of the altitude drawn to the hypotenuse.
Choices:
A:2 \sqrt { 3 }
B:2 \sqrt { 6 }
C:4 \sqrt { 3 }
D:4 \sqrt { 6 }
Please first conduct reasoning, and then answer the question and provide the correct option letter, e.g., A, B, C, D, at the end.
Question: In a right triangle G E F, the hypotenuse G F is 16 and H F is 12. E H is the altitude of triangle G E F. Find the measure of the altitude drawn to the hypotenuse.
Choices:
A:2 \sqrt { 3 }
B:2 \sqrt { 6 }
C:4 \sqrt { 3 }
D:4 \sqrt { 6 }