Question

A rope of length 42cm is turned into an equilateral triangle. Find the length of each side of the triangle.​

Answer 1

Answer:

14 cm each

Step-by-step explanation:

Question-

A rope of length 42cm is turned into an equilateral triangle. Find the length of each side of the triangle.

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Solution-

As we know that in an equilateral triangle, all the sides of a traingle is equal.

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So, let's find the length of each side.

$\color{black}\boxed{\colorbox{saffron}{Perimeter-3×side}}$

Taking side as x

$42 = 3 \times x \\ \\ = 42 = 3x \\ \\ = \frac{42}{3} = x \\ \\ = 14 = x$

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So,

$\rightarrow$ Length of each side of the triangle = 14cm

Answer 2

Question:

A rope of length 42cm is turned into an equilateral triangle. Find the length of each side of the triangle.

Analysis:

Equilateral Triangle: A triangle in which all three sides are equal and each angle of the triangle measures 60°.

✯ Area of Equilateral Triangle = $\Large{\sf{\frac{\sqrt{3}}{4}a²}}$

✯ Perimeter of Equilateral Triangle = 3(Side)

Solution:

Given,

Perimetre of Equilateral Triangle = 42cm

Let, Each Side be 's'

$→\;{\sf{3s = 42}}$

$→\;\Large{\sf{s = \cancel{\frac{42}{3}}}}$

$→\;{\sf{s = 14}}$

AnSweR:

Each Side of Equilateral Triangle

◕➜ $\Large{\red{\bf{14cm}}}$

Hope It Helps You ✌️