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  • In ABC, AD is median. If  and CD = 5 cm, then AD is (in cm)

In ABC, AD is median. If AB^2+AC^2=100\;cm^2 and CD = 5 cm, then AD is (in cm)

Option: 1

5 cm


Option: 2

10 cm


Option: 3

7 cm


Option: 4

None of these


Answers (1)

best_answer

Given that  AB^2+AC^2=100\;cm^2 and CD = 5 cm

Using the concept of Appolonius Theorem

A B^{2}+A C^{2}=2\left(A D^{2}+D C^{2}\right)

\\100=2(AD^2+25)\\AD=5

AD = 5cm

Posted by

Divya Prakash Singh

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