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We will look at some properties of a square.

a.) All the sides are equal.

b.) The lengths of the diagonals are equal.

c.) The diagonals bisect each other.

a.) From property (c), JE is a diagonal of square JOEL and JM is half the diagonal JE.

Thus, if JM = 12, then JE = .

b.) OL is a diagonal of square JOEL and ML is half the diagonal OL.

Thus, if OL = 26, then ML is half of 26 = .

To calculate the diagonal of a square, multiply the length of the side by the

`d = a√2`

Where does this equation come from? You can derive this diagonal of square formula e.g. from pythogorous theorm`a² + a² = diagonal²`

`diagonal = √(a² + a²) = √(2 * a²)`

which simplifies to`diagonal = a√2`

If you don’t have the side of a square given, use other formulas:

`d = √(2*area)`

if area is given`d = (perimeter/4)*√2`

knowing square perimeter.JM=12,

OL=26

area=side*side

side=a=A=338≈18.38478

ME= JE/2

JE=ME*2=12*2=24 (but both diagonal shoud same if it is square)

OL=26

MO=OL/2=26/2=13