Question

Find the length of the diagonal of the rhombus KLMN , if the diagonals intersects at O . given that OK = x+6 , OM =5x -2 , OL=6x, and ON = 4x +4.

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Answer 1

Answer:

16 units and 24 units.

Step-by-step explanation:

To find:-

Length of diagonals of the rhombus.

OK = x + 6

OM = 5x - 2

OL = 6x

ON = 4x + 4

We know that diagonals of rhombus bisect each other, therefore:-

OK = OM and OL = OM

$\\ x = x + 6 = 5x - 2 \\ or \: \\ x = 2$

KM = OK + OM = 8 + 8 = 16

LN = LO + ON = 12 + 12 = 24

Hence, the length of the diagonals are 16 units and 24 units.

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Hope it helps Mishty! :)