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Rhombus LMNO is shown with its diagonals.


The length of LN is 28 centimeters. What is the length of LP?

A.7 cm

B.9 cm

C.14 cm

D.21 cm

Rhombus LMNO is shown with its diagonals. The length of LN is 28 centimeters. What is the length of LP? A.7 cm B.9 cm C.14 cm D.21 cm class=

Verified Answer :

the diagonals cut each other in two 
so LP = 1/2 * 28 = 14

C

calculista

we know that

Rhombus diagonals are perpendicular bisectors of each other

so

\(LN=LP+PN\\LP=PN\)

so

\(LN=2LP\)

Solve for LP

\(LP=\frac{1}{2} LN\)

we have

\(LN=28\ cm\)

substitute

\(LP=\frac{1}{2}*28=14\ cm\)

therefore

the answer is the option C

\(LP=14\ cm\)


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