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If the lengths of each side of a rhombus is 8cm and its one angle is 60 degrees,then fing the length of diagonals of rhombus  (Hint:Use the concept of trigonometry)

Asked by laxmi.agarwal055 21st February 2018, 7:18 PM
Answered by Expert
Answer:
begin mathsize 16px style In space the space rhombus space PQRS comma space angle straight S equals 60 degree rightwards double arrow angle straight R equals 120 degree
SR equals 10 space cm
SQ squared equals QR squared plus SR squared minus 2 QR cross times SRcos 120 degree
equals 100 plus 100 minus 2 cross times 10 cross times open parentheses fraction numerator negative 1 over denominator 2 end fraction close parentheses
equals 300
end style
Answered by Expert 22nd February 2018, 11:43 AM
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