Question

A square with diagonals is shown. the distance from one point to the middle point is x. the length from the center point to another point is x. the length of a side is 8. the figure is a square. its diagonals meet to form four right angles. what is the approximate value of x? 2.8 units 3.3 units 4.0 units 5.7 units

Answer 1

The approximate value of x in the square that the diagonals meets to form four right angles is 5.7 units

Properties of a square.

• All the sides are equal.
• Opposite sides are parallel to each other.
• The diagonal intersects at right angle.

Using Pythagoras theorem the value of x can be found as follows:

c² = a² + b²

where

• c = hypotenuse
• a and b are other legs

Therefore,

8² = x² + x²

64 = 2x²

x² = 64 / 2

x = √32

x = 5.65685424949

x = 5.7 units

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Answer 2

Answer: 5.7 units

Step-by-step explanation: