Question

The measure of each side of an equilateral triangle whose area is root 3 cm square is
A .. 8cm
B... 2cm
C .. 4cm
D... 16cm

Answer 1

$Hey\:there$‼

Area of an equilateral ∆ = √3 cm²
√3a² / 4 = √3
a² = 4√3 / √3
a² = 4
a = √4
a = 2 cm

Thus, the measure of each side of an equilateral triangle whose area is root 3 cm square is 2 cm.

So, answer is B... 2 cm.

Answer 2

The sides of an equilateral triangle is $2cm.$

Given - Area of an equilateral triangle is $3cm^2$

Find the each side of an equilateral triangle.

Solution-In geometry, an equilateral triangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each $60^\circ$.

Area of equilateral triangle is $=\frac{\sqrt{3} }{4}a^2$

$\sqrt{3}=\frac{\sqrt{3} }{4}a^2$

$a^2=4$

$a=2cm$

Hence, the sides of an equilateral triangle is $2cm.$

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