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 | 21st 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

Answered by Sneha shidid | 22nd Feb, 2018, 12:09: PM