A quadrilateral has 4 right angles and 4 sides of equal length. what is the name of the quadrilateral?
2 answers:
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Answer:
The correct options are 1, 2 and 4.
Step-by-step explanation:
The given triangle is an equilateral triangle. All the sides of an equilateral triangle are same. All interior angles are equal with measure 60 degree.
The distance from the center of an equilateral triangle to the midpoint of a side is known as apothem. In the given figure letter a represents the apothem.
Point D is the midpoint of BC,
Use Pythagorean theorem in triangle COD. So, option 1 is correct.
The distance can not be negative, so the length of the apothem is approximately 2.5 cm. Option 4 is correct.
The line OC bisects the angle C.
Therefore option 2 is correct.
The perimeter of an equality triangle is
Option 3 is incorrect.
Option 5 is incorrect.
Therefore options 1, 2 and 4 are correct.
The area of the shaded region is option first is correct.
It is given that a circle is inscribed in a regular hexagon with sides of 10 feet.
It is required to find the shaded area (missing data is attached shown in the picture).
<h3>What is a circle?</h3>It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).
We have a hexagon with a side length of 10 feet.
We know the area of the hexagon is given by:
where a is the side length.
⇒
We have the shortest length = x feet and from the figure:
2x = 10
x = 5 feet
The radius of the circle r = longer leg
feet
The area of the circle a = ⇒
The area of the shaded region = A - a
Thus, the area of the shaded region is
Learn more about circle here:
