Each side of an equilateral triangle is 6 cm, then its altitude is ______.
[tex](a)3 \sqrt{3} cm[/tex]
[tex](b)2 \sqrt{3} cm[/tex]
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Each side of an equilateral triangle is 6 cm, then its altitude is ______.
[tex](a)3 \sqrt{3} cm[/tex]
[tex](b)2 \sqrt{3} cm[/tex]
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Answer:
A =3 (5)^(1/2)
Step-by-step explanation:
For an equilateral triangle, the perpendicular bisectors, altitudes and medians are the same. So drawing amedian creates a right triangle with hypotenuse 6cm one side (6/2=) 3 cm and the altitude as the other side. Hence, the altitude,
A= (6^2+3^2)^(1/2)
=(36+9)^(1/2)
=(45)^(1/2)
A =3(5)^(1/2)