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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?

If quadrilateral LMNO is a square find the missing measures Round your answers to the nearest tenth if necessary LN46 What is OM PN ON and MN class=

Respuesta :

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

OM = 46

PN = 23

ON = 32.5

MN = 32.5

Pythagorean theorem

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;https://brainly.com/question/3317136

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