Question

the perimeter of an equilateral triangle is 72√3cm. find its height

Answer 1

72=x+x+x72=3x24=x=side of Δby pythagoras theorem ... The perimeter of an equilateral triangle is 72 cm. find its height. Ask for details; Follow ... height =12√3cm ...

Answer 2

The perimeter of an equilateral triangle is 72√3cm

∴each side [a]=72√3cm/3 =24√3cm

Area of equilateral triangle [A]=√3/4*a^2

[A]=√3/4*a^2 =√3/4*[24√3]^2

⇒[A]=√3/4*[1728] =1/2 *base *height   [area of triangle]

⇒√3/4*[1728] =1/2 *24√3cm *height

⇒{√3/4*1728}*2÷24√3 =height

⇒864√3÷24√3=height

⇒36 =height ANS