Question

22.The side of an equilateral triangle is 1/2 c.m.What will be the perimeter of the triangle?

​

Answer 1

Step-by-step explanation:

As, all sides of equilateral triangle are equal.

Therefore,

Perimeter =3×12.5cm

= 37.5 cm

Answer 2

GivEn:

• Side of an Equilateral triangle is $\bf {}^{\text1}\!/{}_{\text{2}}\;cm$

⠀⠀⠀⠀⠀⠀⠀

To find:

• Perimeter of Triangle

⠀⠀⠀⠀⠀⠀⠀

SoluTion:

⠀⠀⠀⠀⠀⠀⠀

As we know that,

⠀⠀⠀⠀⠀⠀⠀

All Sides of an Equilateral triangle are equal.

⠀⠀⠀⠀⠀⠀⠀

$\therefore\sf AB = BC = CA = {}^{\text1}\!/{}_{\text{2}}\;cm$

⠀⠀⠀⠀⠀⠀⠀

${\underline{\sf{\bigstar\; Perimeter\;of\; \triangle = a + b + c}}}$

⠀⠀⠀⠀⠀⠀⠀

$\;\;\;\;\small\sf \underline{Putting\;values\;:}$

⠀⠀⠀⠀⠀⠀⠀

$:\implies\sf a + a + a\;\;\;\;\;\bigg\lgroup\bf \because\; Equilateral\; \triangle \bigg\rgroup$

⠀⠀⠀⠀⠀⠀⠀

$:\implies\sf \dfrac{1}{2} + \dfrac{1}{2} + \dfrac{1}{2}$

⠀⠀⠀⠀⠀⠀⠀

$:\implies\sf \dfrac{1 + 1 + 1}{2}$

⠀⠀⠀⠀⠀⠀⠀

$:\implies\sf \pink{ \dfrac{3}{2}\;cm}$

⠀⠀⠀⠀⠀⠀⠀

$\therefore\sf \underline{Perimeter\;of\; Traingle\;is\; {}^{\text3}\!/{}_{\text{2}}\;cm}$

⠀⠀⠀⠀⠀⠀⠀

━━━━━━━━━━━━━━━

Additional Information:

• $\sf Area\;of\; traingle\;using,\;base\;and\;side = \dfrac{1}{2} \times Base \times Height$

⠀⠀⠀⠀⠀⠀⠀

• $\sf Heron's\; formula = \sqrt{s(s - a)(s - b)(s - c)}$