Use the law of cosines:
We have:
substitute:
Rhombus LMNO is shown with its diagonals. The length of LN is 28 centimeters. What is the length of LP? 7 cm 9 cm 14 cm 21 cm
2 answers:
Answer: The length of LP is 14 cm.
Step-by-step explanation:
Here, LMNO is a rhombus,
In which LN and MO are the diagonals, intersecting at P.
Since, the diagonals of a rhombus bisect each other,
In rhombus LMNO,
LP = PN and MP = PO,
Here, LN = 28 cm
⇒ LP + PN = 28 cm
⇒ LP + LP = 28 cm
⇒ 2 LP = 28 cm
⇒ LP = 14 cm
Thus, the length of LP is 14 cm.
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