how wide is the regular hexagon if the length of the side is 10 cm?
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Correct Question :- The area of the hexagon is regular if the length of its sides is 10 cm ?
DISCUSSION :
The hexagon is divided into six so that there will be 6 equilateral triangles whose three sides are equal to 10 cm.
First we look for the height of the triangle with the Pythagorean formula:
t² = 10² - 5²
t² = 100 - 25
t² = 75
t = √75
t = √25√3
t = 5√3
Then the area of the hexagon:
L = 6 x triangle area
L = 6 x a x t / 2
L = 6 x 10 x 5√3 / 2
L = 6 x 25√3
L = 150√3 cm².
Answered by
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Step-by-step explanation:
By using the Pythagorean theorm:
t² = 10² - 5²
t² = 100 - 25
t² = 75
t = √75
t = √25√3
t = 5√3
the area of the hexagon:
L = 6 x triangle area
L = 6 x a x t / 2
L = 6 x 10 x 5√3 / 2
L = 6 x 25√3
L = 150√3 cm².
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