11. Find the length of the diagonals of the rhombus KLMN, if the diagonals intersect at 0. Given that. OK = x + 6, OM = 5x - 2, OL = 6x, and ON = 4x + 4.
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Answer:
Diagonal KM=20 units
Diagonal LN=16 units
Step-by-step explanation:
Diagonals of rhombus bisect
=> x+6=5x-2 and 6x=4x-4 (Eq. 1 & 2)
From Eq. 1, x=2 and Eq. 2, x=-2
If x=2,
KM:OK+OM or 2+6+5(2)-2 = 20 units
LN:OL+ON or 6(2)+4(2)-4 = 16 units
If x=-2,
KM:OK+OM or -2+6+5(-2)-2 = -8 units
LN:OL+ON or 6(-2)+4(-2)-4 = -24 units
Distance can't be -ve, hence value of x is 2 and length of diagonals are given above.
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