Question

n the given figure, ABCD is a rhombus. Find the values of x, y and z

Answer 1

Answer:

From the figure,ABCD is a rhombus

Then, the diagonals of rhombus bisect each other at right angles.

So,AO=OC

x=8cm

Therefore, AO=8cm

And BO=OD

y=6cm

Therefore, BO=6cm

Consider the ΔAOB, it is a right angled triangle. 

By Pythagoras theorem, 

AB2=AO2+BO2

AB2=82+62

AB2=64+36

AB2=100

AB=100

AB=10cm