Each median of an equilateral triangle is 4cm. What is the length of the side of the triangle?
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the side is =8(sqrt3)/3
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ANSWER
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The Median of an equilateral triangle is also the Altitude of the triangle.
It is because Angle bisectors, Medians and Altitudes overlap each other in an equilateral triangle.
Altitude = (root(3) / 2) × side
=> 4 cm = ( root (3) / 2 ) × side
=> side = 4×2 / root (3)
=> side = 8/root (3)
=> side = 4.618 cm
__________________________
HOPE IT HELPS :):):):)
__________________________
The Median of an equilateral triangle is also the Altitude of the triangle.
It is because Angle bisectors, Medians and Altitudes overlap each other in an equilateral triangle.
Altitude = (root(3) / 2) × side
=> 4 cm = ( root (3) / 2 ) × side
=> side = 4×2 / root (3)
=> side = 8/root (3)
=> side = 4.618 cm
__________________________
HOPE IT HELPS :):):):)
mustakinem:
Thank you. It definitely did.
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