Mensuration >> Equilateral Triangle

Find perimeter of equilateral triangle with altitude - Equilateral Triangle - Mensuration problem solver

The altitude (height) of an equilated triangle is 12 cm. Then whatis the perimeter ?

Find perimeter of equilateral triangle with altitude

height = 12
a =  ( 2 / sqrt(3) ) * h
side = ( 2 / sqrt(3) ) * 12
side = 13.8564
So the side is 13.8564
p =  3 * a
perimeter = 3 * 13.8564
perimeter = 41.5692
So the perimeter is 41.5692

Equilateral triangle Formulas :

A =  (pow( a ,2) * sqrt(3)) / 4

p =  3 * a

s =  p / 4

a =  p / 3

h =  ( a * sqrt(3) ) / 2

m =  ( a * sqrt(3) ) / 2

t =  ( a * sqrt(3) ) / 2

R =  a * ( sqrt(3) / 3 )

r =  a * ( sqrt(3) / 6 )


where,

a = side
p = perimeter
A = area
h = height
m = median
t = angle bisector
R = circumscribed circle radius
r = inscribed circle radius
s = semi perimeter

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