Question

The perimeter of an equilateral triangle measures 24/5cm. Find the length of each side​

Answer 1

Answer:

perimeter = 4.8 cm.

p = 3× side

4.8 = 3 × side

4.8/3 = side

1.6 cm = side.

Step-by-step explanation:

side = 1.6 cm

Answer 2

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perimeter of equilateral triangle =

$\huge = \frac{24}{5} cm$

let all sides of triangle are X cm

we know that... perimeter of triangle is sum of all sides of triangle

$\implies \: x + x + x = \frac{24}{5} \\ \implies \: 3x = \frac{24}{5} \\ \implies \: x = \frac{24}{5 \times 3} \\ \implies \: x = \frac{8}{5}$

so length of all sides of triangle are 8/5cm or 1.6cm

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if you want to find area of triangle

so..

area of equilateral triangle

$\bold{= \frac{ \sqrt{3} }{4} \times {side}^{2} }$

$ar( \triangle) = \frac{ \sqrt{3} }{4} \times {( \frac{8}{5} )}^{2} \\ ar( \triangle) = \frac{ \sqrt{3} }{4} \times \frac{8}{5} \times \frac{8}{5} \\ ar( \triangle) = \frac{ \sqrt{3} \times 2 \times 8}{5 \times 5} \\ ar( \triangle) = \frac{16 \sqrt{3} }{25} {cm}^{2}$

so area of triangle is 16√3/25cm²