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3 years ago

14

If quadrilateral LMNO is a square, find the missing measures. Round your answers to the nearest tenth, if necessary. LN=46. What

is OM, PN, ON and MN?

1 answer:

aleksley [76]3 years ago

4 0

The values of OM, PN, ON and MN of the given square are;

OM = 46

PN = 23

ON = 32.5

MN = 32.5

<h3>Pythagorean theorem</h3>

We are given;

LN = 46

Now, LN is the diagonal of the square and as such to get the sides of the square, we will make use of pythagoras theorem to get;

LO² + ON² = 46²

Since LO = ON, then;

2LO² = 46²

LO² = 46²/2

LO = √1058

LO = 32.5

Thus;

LO = ON = MN = 32.5

For the diagonals;

LN = OM = 46

Also; LP = PN = 46/2 = 23

Read more about pythagoras theorem at;brainly.com/question/3317136

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