Question

draw a square of sum of one side and diagonal is 11 cm

Answer 1

Consider the side of square to be ‘x’ and length of diagonal to be ‘d’ . Then, we can apply Pythagoras theorem to the triangle formed by any of the 2 sides of the square and one of the diagonals. Thus applying Pythagoras theorem ,

x^2 +x^2 = d^2

implies, 2* x^2 =d^2

implies, d = √2 x .

Length of diagonal = √2 ( Side of Square).

Answer 2

Answer:

Step-by-step explanation:

To find the perimeter of a square, just add up all the lengths of the sides:

Perimeter = x+x+x+x = 4x

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The area of a square:

To find the area of a square, multiply the lengths of two sides together...  Another way to say this is to say "square the length of a side!"  Get it?  Square!

Area = x*x  =x^2

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The sides and angles of a square:

square

The sides of a square are all congruent (the same length.)

The angles of a square are all congruent (the same size and measure.)

Remember that a 90 degree angle is  called a "right angle."  So, a square has four right angles.

Opposite angles of a square are congruent.

Opposite sides of a square are congruent.

Opposite sides of a square are parallel.

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The diagonal of a square:  

To find the length of the diagonal of a square,  multiply the length of one side by the square root of 2:

If the length of one side is x...

length of diagonal = xsquare root of 2

 

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The central angle of a square:

square

The diagonals of a square intersect (cross) in a 90 degree angle.  This means that the diagonals of a square are perpendicular.

The diagonals of a square are the same length (congruent).