Question

The perimeter of a rhombus is 100cm and one of the diagonal is 40cm then find the length of the other diagonal

Answer 1

perimeter

4a=100

a=100/4

a=25

side of rhombus=25cm

one diagonal=40cm

another=?

let the diagonals intersect each other at point o

bo=20cm  ao=20cm

now in triangle aob

ab=25,ob=20 and ao=?

by pgt

625=ao2+400

225=ao2

ao=15cm

d2=ao+ochttps://hi-static.z-

d2=30cm