Question

In a ABC, angle BAC= 90°, AD is the altitude if AB = 2√5,BD = 4. Then find BC and AC.

Answer 1

Answer:

Step-by-step explanation:

AB ^2  =BC.BD     [using the corollary]

2 root 5^2 =BC×4  

∴  20/4 =BC      

∴BC=5

Now, CD=BC−BD=5−4=1

AC^2  =BC.CD  

⟹AC^2  =5×1  

∴AC=  Root 5

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