In the given figure, ABCD is a rhombus. Find the values of x, y
and z.
Pls answer correctly
Share
In the given figure, ABCD is a rhombus. Find the values of x, y
and z.
Pls answer correctly
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
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,
AB
2
=AO
2
+BO
2
AB
2
=8
2
+6
2
AB
2
=64+36
AB
2
=100
AB=
100
AB=10cm