Question

The perimeter of a rhombus with one diagonal 24c.m long is the same as the perimeter of an equilateral triangle with side 20 an find the length of the other diagonal ??

Answer 1

perimeter of equilateral triangle =3×20=60cm then perimeter of rhombus =60cm its side =60/4=15cm we know that the diagonals of rhombus bisect each other at right angle. in triangle OAB (OB)2 =(OA)2+(AB )2 OA=9cm so,other diagonal =2×OA=18cm