in triangle abc right angled at b ab=5cm and angle acb = 30 degree find bc and ac
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Hi ,
In Triangle ABC ,
< B = 90°
AB = 5cm
< ACB = 30°
hypotenuse = AC
i ) sin 30° = AB / AC
1/2 = 5 / AC
AC = 5 × 2
AC = 10
ii ) cos 30° = BC / AC
√3 / 2 = BC / 10
10√3 / 2 = BC
5√3 = BC
BC = 5√3
Therefore ,
AC = 10,
BC = 5√3
I hope this helps you.
:)
In Triangle ABC ,
< B = 90°
AB = 5cm
< ACB = 30°
hypotenuse = AC
i ) sin 30° = AB / AC
1/2 = 5 / AC
AC = 5 × 2
AC = 10
ii ) cos 30° = BC / AC
√3 / 2 = BC / 10
10√3 / 2 = BC
5√3 = BC
BC = 5√3
Therefore ,
AC = 10,
BC = 5√3
I hope this helps you.
:)
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0
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