Question

The lengths of the diagonals ac and bd of a rhombus are 6cm and 8cm. Find the length of each side of the rhombus. Also find is area

Answer 1

Answer:

length of ac and bd=24,32 Area=24

Answer 2

Answer:

5,24

Step-by-step explanation:

diagonals are perpendicular bisectors in rhombus. let the point of intersection be O

AO=6/2=3

OB=8/2=4

in right triangle AOB, by pythagoras theorem,

[(AO)^2]+[(OB)^2]=[(AB)^2]

(3*3)+(4*4)=(AB*AB)

AB=5cm=BC=CD=DA      (all sides of rhombus are equal)

area=1/2*diagonal1*diagonal2

       =1/2*6*8

area=24cm^2