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ICSE Class 9 Answered

In the right angled triangle ABC,angle C=90 degrees and angle B=60 degrees.If AC=6cm,find the lengths of the sides BC and AB  (Hint:Use the concept of trigonometry)
Asked by laxmi.agarwal055 | 21 Feb, 2018, 07:17: PM
Expert Answer
begin mathsize 16px style In space increment PQR comma
angle straight Q equals 90 degree comma space angle straight R equals 60 degree space and space PQ equals 6 space cm
tan 60 degree equals PQ over QR
square root of 3 equals 6 over QR
QR equals fraction numerator 6 over denominator square root of 3 end fraction space cm equals 2 square root of 3 space cm
sin 60 degree equals PQ over PR
fraction numerator square root of 3 over denominator 2 end fraction equals 6 over PR
PR equals fraction numerator 12 over denominator square root of 3 end fraction equals 4 square root of 3 space cm
end style
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