if triangle abc angle b=90 BC=5cm , ac-ab=1cm. evaluate: 1+sinc/cosc
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8
Answer: 5
Step-by-step explanation: since ac - ab =1
ac = 1+ab
so according to Pythagoras theorem,
ac square = ab square + bc square
but since ac = 1+ab
so we can write
(1+ab)^2 + (ab)^2 + (5)^2
= 1+2ab=ab^2 = ab^2 = 25
= 1+2ab=25
= 2ab=24
= ab=12 cm
since ac=1+ab,
ac=13 cm
1+sinc/cosc
=1+12/13/5/13
= (13+12)/5
= 25/5
=5
therefore ans = 5
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