the adjacent sides of parallelogram are 15 cm and 8cm. if the distance between the longer sides is 4 cm ,find the distance between the shorter sides.
Draw perpendiculars to create a rectangle and 2 congruent right-angled triangles.
Look at one of those right-angled triangles.
let the missing side be x
x^2 + 4^2 = 8^2
x^2 = 48
x = √48 = 4√3
Let the acute angle of the parallelogram be Ø
In the triangle, sinØ = 4/8 = 1/2
so Ø = 30°
That should give you a start