Question

The perimeter of an equilateral triangle of area 64√3cm is
a) 192V3 cm b) 64 cm
c) 16 cm
d) 48 cm​

Answer 1

Answer:

ANSWER

Let the side of the equilateral triangle be a cm

area of the triangle 

43a2=643⇒a2=34×64×3⇒a2=256⇒a=16

perimeter of the triangle=3a=3×16=48 cm

Answer 2

Question

• The perimeter of an equilateral triangle of area 64√3cm is

Given

• Area of equilateral ∆ is 64√3 cm

Find

• Perimeter = ?

Formula

• ★ $\bf \dfrac{\sqrt{3}}{4}a^2$

Where a = side

Solution

• Let the side of ∆ be “ x ” cm

$\sf → \frac{\sqrt{3}}{4}a^2=64\sqrt{3} \\ → \sf a^2=\dfrac{4×64×\sqrt{3}}{\sqrt{3}}$

$\sf → a^2=256 \\ \sf → a=\sqrt{16×16} \\ → \sf a=16cm$

Now,

• Perimeter of ∆ 3 × side

$\sf → perimeter = 3 × 16 \\ \sf → perimeter = 48cm$

Hence

• Perimeter of the ∆ is 48cm