SOLUTION: if the perimeter of an equilateral triangle be 18cm,then the length of each median is
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Question 921402: if the perimeter of an equilateral triangle be 18cm,then the length of each median is
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
an equilateral triangle has all sides equal length
so,the perimeter is where is side
if the perimeter of an equilateral triangle be ,then
the median divides equilateral triangle into two right angle triangle where the median is one leg, is the other leg, and is hypotenuse; so, use Pythagorean theorem
..............plug in
=> the length of each median; in an equilateral triangle all three median are congruent
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