Answer:
The parallelogram is not rectangle because the sides of the parallelogram do not meet at right angles.
Step-by-step explanation:
Given the parallelogram with sides 20 and 21 units with diagonal length 28 units.
we have to tell it is a rectangle or not.
The given parallelogram is rectangle if the angle at vertices are of 90° i.e the two triangle formed must be right angles i.e it must satisfy Pythagoras theorem
=
+
784=400+441=881
Not verified
∴ The sides of the parallelogram do not meet at right angles.
Hence, the parallelogram is not rectangle because the sides of the parallelogram do not meet at right angles.
Hope it helps
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Answer:
x=15
Step-by-step explanation:
<GCB=180-5x
<EBA=9x
<DAC=8x
The sum of the three exterior angles equals 360.
(180-5x)+9x+8x=360
180-5x+9x+8x=360
-5x+9x+8x=360-180
12x=180
x=15
Answer:
d=3
Step-by-step explanation:
Based on the calculations, the area of this regular polygon (hexagon) is equal to 24 m².
<h3>How to calculate the area of a regular polygon?</h3>
Mathematically, the area of a regular polygon can be calculated by using this formula:
Area = (n × s × a)/2
<u>Where:</u>
- n is the number of sides.
<u>Note:</u> The apothem of a regular polygon is half the length of one side.
Therefore, Length = 2 × 2 = 4 meter.
Substituting the parameters into the formula, we have;
Area = (6 × 4 × 2)/2
Area = 48/2
Area = 24 m².
Read more on polygon here: brainly.com/question/16691874
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