find the area of an equilateral triangle whose perimeter is 18cm.Also find the sum of its three altitudes.
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all sides of equilateral triangle are congruent hence the side of equilateral triangle will 6 if perimeter is 18
Now area of equilateral triangle =√3/4*side^2
=√3*9 =9√3
altitude of equilateral triangle will be =√45=3√5
sum of three altitudes=3√5+3√5+3√5
=9√5
Now area of equilateral triangle =√3/4*side^2
=√3*9 =9√3
altitude of equilateral triangle will be =√45=3√5
sum of three altitudes=3√5+3√5+3√5
=9√5
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