In △ABC\triangle ABC△ABC, DDD is the midpoint of BCBCBC. If the sides AB,BCAB, BCAB,BC, and CACACA have lengths 4,84, 84,8, and 6,6,6, respectively, then what is the numerical value of AD2AD^{2}AD2?
a.8a. 8a.8
b.10b. 10b.10
c.12c. 12c.12
d.13d. 13d.13
Note by Benedict Dimacutac 3 years, 7 months ago
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Answer: B.10\boxed{B.10}B.10 Use the Apollonius Theorem.
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Easy Math Editor
This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.
When posting on Brilliant:
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2^{34}
a_{i-1}
\frac{2}{3}
\sqrt{2}
\sum_{i=1}^3
\sin \theta
\boxed{123}
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Answer: B.10 Use the Apollonius Theorem.