Question

each side of an equadrilateral triangle is 10 cm. if its perimeter is equal to the perimeter of a square, find the side of the square​

Answer 1

Answer:

7.5 cm

Step-by-step explanation:

Each side of equilateral triangle = 10cm

∴ Perimeter of the triangle = (10 × 3) cm = 30 cm

∵ Perimeter of triangle = Perimeter of square

∴ Perimeter of square = 30cm

∵Perimeter of any square = 4a

∴ 4a = 30

$a = \frac{30}{4}$

$a = 7.5$

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Answer 2

${\mathscr {\Large{Given:-}}}$

side of an equilateral triangle is 10cm.

perimeter of ∆ is equal to the perimeter of a square

${\mathscr {\Large{To\:Find:-}}}$

side of the square

${\mathscr {\Large{Solution:-}}}$

Let the side of square be 'x'

perimeter of ∆ = perimeter of a square

$\bf :\implies 10×3=4×x$

$\bf :\implies 30=4x$

$\bf :\implies x=\dfrac{30}{4}$

$\bf :\implies x=7.5cm$

${\underline{\sf{ \therefore The\:side\:of\:square\:is\:7.5\:cm}}}$