Question

What is the area of an equilateral triangle with side √3/4 ? a. 2/27 cm2 b. 2/15 cm2 c. 3/16 cm2 d. 3/14 cm2

Answer 1

Step-by-step explanation:

Area of equilateral triangle =(√3/4 )a²

where a=side of triangle

Here in this question a=√3/4

by putting value in formula

(√3/4)a×a

(√3/4)(√3/4)(√3/4)

by solving above statement we get

(3√3)/64

Hope it Helps:-)

Answer 2

Solution :-

given that, side of an equilateral triangle is equal to (√3/4) .

So,

→ Area of ∆ = (√3/4) * (side)²

→ Area of ∆ = (√3/4) * (√3/4) * (√3/4)

→ Area of ∆ = (√3 * √3 * √3)/(4 * 4 * 4)

→ Area of ∆ = (3√3/64) cm² (Ans.)

Also, we assume side as √(3/4) cm , then,

→ Side = √(3/4) = √3/2 cm

then,

→ Area of ∆ = (√3/4) * (√3/2) * (√3/2)

→ Area of ∆ = (3√3/16) cm² .

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