The sides of a parallelogram are 24cm and 16cm. The distance between the 24cm sides is 8 cm. Find the distance between the 16cm sides

Answer:12 cm.Step-by-step explanation:The distance between the opposite sides is a perpendicular line so we can form a right angled triangle by drawing a perpendicular line from one corner of the parallelogram  to the opposite 24 cm side.So  one angle of the parallelogram will have a sine of 8/16 = 1/2 so this angle =  30 degrees.In a similar way to the above we form a right angled triangle  from the same corner by drawing a perpendicular line to the opposite 16 cm side.This has an angle of 30 degrees (  opposite angles in a parallelogram are congruent).So sine 30 = x / 241/2 = x /24x = 12 feet.Another way to do this is by noting that the 2 triangles are similar (because  2 corresponding angles are equal).So  8/ 16 = x/2416x = 192x = 12 feet.