Mensuration >> Equilateral Triangle

Height of the equilateral triangle with perimeter - Equilateral Triangle - Mensuration problem solver

Find the height of the equilateral triangle when its perimeter is 18.

height of the equilateral triangle with perimeter

perimeter = 18
a =  p / 3
side = 18 / 3
side = 6
So the side is 6
h =  ( a * sqrt(3) ) / 2
height = ( 6 * sqrt(3) ) / 2
height = 5.1962
So the height is 5.1962

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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