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Step-by-step explanation:
1. area of equilateral triangle =√3/4a^2
9√3cm^2 = √3/4a^2
a^2 = 9√3/1/√3/4
= 9√3*4/√3*1
= 36√3/√3
= 36
a = √36
a = 6 ans
2. base = 2
height = 4
area = ?
area of isosceles triangle = 1/2 *b*h
= 1/2*2*4
= 8/2
area = 4 ans
3. 1st area =1/2*b*h
let b = b, h = h
so, 1st area = bh/2
2nd area when sides is double
let b = 2b , h = 2h
area =1/2*b*h
= 1/2*2b*2h
= 4bh/2
= 2bh
so, the area will also be double when the sides of the triangle will double.
4. area of equilateral triangle = √3/4a^2
16√3a^2 = √3/4
a^2 = 16√3/1/√3/4
a.t.q
16√3*4/
√3*1
64√3/√3
a^2 = 64
a = √64
a = 8
perimeter = 3a
= 3*8
= 24 cm ans