Question

Solve it:-
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Answer 1

Answer:

sin∅  =   $\frac{2}{\sqrt{13} }$ .

Step-by-step explanation:

To find AB:

Applying pythagorus theorem in triangle ABC, we get

  $(AB)^{2} = (AC)^{2}- (BC)^{2}$

   $(AB)^{2} = 25 - 16 = 9$

Therefore, AB = 3 cm.

AND given that BD =BC/2 = 4/2 = 2cm.

Again applying pythagorus theorem in triangle ABD. we get

 $(AD)^{2} =(AB)^{2} +(BD)^{2}$

 $(AD)^{2} = 9 +4$

 $AD = \sqrt{13}$

Now , AD = $\sqrt{13}$  and BD = 2

Therefore, sin∅ = BD/AD

                          = $\frac{2}{\sqrt{13} }$ .

Answer 2

Step-by-step explanation:

answer is 2/√3.................