Question

what is the length o each side of an equilateral triangle whose perimiter is 2.25m​

Answer 1

${\bold{\underline{\underline{Answer:}}}}$

${\bold{\therefore Length\:of\:triangle=0.75\:m}}$

${\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\underline \bold{Given : } \\ \implies Perimeter \: of \:equilateral \: triangle = 2.25 \: m \\ \\ \underline \bold{To \: Find : } \\ \implies Length \: of \: triangle = ?$

• According to given question :

$\bold{Let \: side \: of \: equilateral \: triangle = x} \\ \\ \bold{We,\: know \: that \: side \: of \: equilateral }\\ \bold{ triangle \: are \: equal : } \\ \\ \bold{using \: formula \: of \: perimeter \: of \: triangle} \\ \implies Perimeter \: of \: triangle = 2.25\:m\\ \\ \implies a + b + c = 2.25 \\ \\ \implies x + x + x = 2.25 \\ \\ \implies 3x = 2.25 \\ \\ \implies x = \frac{ \cancel{2.25}}{ \cancel3} \\ \\ \bold{ \implies x = 0.75 \: m}$

Answer 2

SOLUTION:-

Given:

In a equilateral ∆ whose perimeter is 2.25m.

To find:

The length of each side of the equilateral ∆.

Explanation:

Equilateral triangle:

In a equilateral ∆, each angle is 60° is called equilateral triangle.

•We know that, perimeter of triangle is;

=) Side + Side + Side.

According to the question:

Let the side be R.

=) R + R + R = 2.25m

=) 3R = 2.25

=) R= 2.25/3

$= > R = \frac{2.25 \times 100}{3 \times 100} \\ \\ = > R = \frac{225}{300}m \\ \\ = > R = 0.75m$

Thus,

The length of each side of the equilateral triangle is 0.75m.

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