Question

area of an equilateral triangle is 16 root off 3cm square find its side, perimeter and altitude.

Answer 1

Answer:

2cm,6cm,4/√3cm

Step-by-step explanation:

given area 16√3

as per formula of area of equilateral triangle

√3/4a^2= 16√3( where a is the side)

4a^2=16(√3 cancels out from both side)

a^2= 4( cancelling 4)

a =±2( but -2 can't be length)

so a=2cm is the side

so perimeter is 3a= 6cm is perimeter

alltitude is 1/√3 a^2

4/√3 cm is the alltitude