Consider the following. (i) Given: diameter AB⊥CE at D Prove: CD is the geometric mean of AD and DB. Identify the first
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Consider the following. (i) Given: diameter AB⊥CE at D Prove: CD is the geometric mean of AD and DB. Identify the first
Consider the following. (i) Given: diameter AB⊥CE at D Prove: CD is the geometric mean of AD and DB. Identify the first step of the proof. Measure ∠CDB and ∠EDB. Draw AC and consider this segment's relationship to other objects in the figure. Draw BD and consider this segment's relationship to other objects in the figure. Consider △BDE. Consider △CDE. Identify the final step of the proof. The length of the altitude to the hypotenuse of right △ABE is the geometric mean of the lengths of the segments of the hypotenuse. The length of the altitude to the hypotenuse of right △ABE is the geometric mean of the lengths of the legs. The length of the altitude to the hypotenuse of right △ABC is the geometric mean of the lengths of the segments of the hypotenuse. The length of the altitude to the hypotenuse of right △ABC is the geometric mean of the lengths of the legs. Use your answers above to write a complete paragraph proof, filling in the intermediate steps. Submit your answer as a free
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