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

Question

Mathematics

Terry Nichols

3 September, 03:51

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

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Answers (2)

Know the Answer?

Xavier Cline · Answer 1

Xavier Cline 3 September, 04:20

0

LP = 1/2 * 28 = 14 Answer C.

Justice Casey · Answer 2

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.