Math, asked by krantkaldate11, 10 months ago

In tri. ABC , right angled at B , AB = 5cm and sinC = 1/2 . Determine the lenght of side AC.

Answers

Answered by AkshatZayn
6

Given: <B = 90° and AB = 5cm, SinC = 1/2

=> SinC = \rm\frac{1}{2}

=> SinC = Sin30°

=> C = 30°

<A + <B + <C = 180° {angle sum property}

=> <A + 90° + 30° = 180°

=> <A = 180° - 120°

=> <A = 60°

CosA = \rm\frac{AB}{AC}

=> Cos60° = \rm\frac{5}{AC}

=> \rm\frac{1}{2} = \frac{5}{AC}

=> AC = 10cm

So, the length of side AC is 10cm

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