Question

The diagonals of a rhombus are 8cm and 10cm. find the side of rhombus​

Answer 1

diagonals of rhombus bisect at 90⁰

Therefore ANGLE AOB = 90⁰

AND AO = OC

AO +OC = 10

AO +AO =10

2AO =10

AO = 5

SIMILARLY BO = OD = 4

NOW IN TRIANGLE AOB

(AB)² = 5² + 4²

= 25 +16

=41

AB = ROOT 41

THEREFORE , SIDE OF RHOMBUS = ROOT 41 ......