Problema Solution
A rhombus has an area of 40 cm2 and adjacent angles of 50° and 130° . Find the length of a side of the rhombus.
Answer provided by our tutors
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.