Question

if the area of an equilateral triangle is 25 under root 3 m square find its perimeter and altitude correct to 3 current significant figures​

Answer 1

Given: area of equilateral triangle =√3/25m^2

Solution:-

area of equilateral triangle=√3/4a^2

√3/25 = √3(a^2)/4

1/25 =(a^2)/4

4/25 =a^3

a=√(4/25)

a=2/5m=0.4m (or) 40cm

perimeter of equilateral triangle= 3a

=3×0.4

=1.2m or 120cm

area of equilateral triangle=1/2bh

√3/25 = 1/2 × 0.4 × h

h = 2√3/(25×0.4)

h=√3/50m or 2√3cm