Question

If the length of one diagonal of rhombus having side 25
cm is 14 cm then what will be the length of other diagonal

Answer 1

Answer:

12 cm is the correct answer

Answer 2

Step-by-step explanation:

LET AC BE THE ONE DIAGONAL WHOSE LENGTH IS 14CM

AND AB- 25cm as given

AS WE KNOW THAT THE DIAGONAL BISECT EACH OTHER AT 90 DEGREE IN A RHOMBUS THUS, AO=OC=14/2=7CM

NOW IN TRIANGLE AOB

BY PYTHAGOROUS

AB^2=AO^2+OB^2

OB^2= (25)^2-49

=625-49=✓576=24cm

the other diagonal will be 2(ob) =2(24)=48cm