Question

a rhombus has an area of 40 centimetres square and adjacent angle of 50 degree and 130 degree find the length of the side of the Rhombus

Answer 1

let 'a' be the length of a side of the rhombus and 'alfa' = 50° is one of the angles of the rhombus



using the formula for the area rhombus A = a*a (sin 'alfa') we have



40 = a^2 sin(50°)



a = (40/ sin(50°))^0.5



a = 7.23 cm



the length of a side of the rhombus is 7.23 cm.