Question

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

• A. x = 13
  y = 6
  z = 2.5
• B. x = 13
  y = 12
  z = 5
• C. x = 12
  y = 5
  z = 13
• D. x = 13
  y = 24
  z = 10

Answer 1

The correct option is B x = 13

y = 12
z = 5
AB = BC (Sides of a rhombus)
x = 13 cm.
Since the diagonals of a rhombus bisect each other.
So, OD = OB and OC = OA
$⟹$z = 5 and y = 12
$\therefore$ x = 13 cm, y = 12 cm and z = 5 cm.