In figure below AABC is right angled at B and tan A=. If AC = 15 cm the length of AB is
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Answer:
⇒AB=
4
3
BC
Now, in △ABC
AB
2
+BC
2
=AC
2
(
4
3
BC)
2
+BC
2
=15
2
⇒
16
25
BC
2
=15
2
⇒BC
2
=
5
2
15 2 ×4 2⇒BC=12Therefore, Answer is 12 cm
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