Question

3.
If each side of an equilateral triangle is of 36 cm then length of its medians is
(1) 36 cm
(2) 18 cm
(3) 3613 cm
(4) 1873 cm

Answer 1

Answer:

• Length of its median is 18√3cm .

step-by-step explanation:

According to the Question

It is given that each side of equilateral triangle is 36 cm.

We have to calculate the length of its median .

Let the median of triangle be x cm.

For calculating the length of its median we will use formula which is

$\huge\boxed{\bf{x = \frac{\sqrt{3}\;side }{2} }}$

Now by putting the given value we get

$\dashrightarrow\bf\; x = \frac{\sqrt{3}\times36 }{2} \\\\\\\dashrightarrow\bf\; x = {\sqrt{3}\times18 }\\\\\\\dashrightarrow\bf\; x = 18\sqrt{3}\; cm\\\\\\\boxed{\bf{Hence,the \; length\; of\; its \; median \; is\; 18\sqrt{3} cm. }}$

Answer 2

Answer:

Question :-

• If each side of an equilateral triangle is of 36 cm, then length of its median is ?

Options :

☛ (1) 36 cm

☛ (2) 18 cm

☛ (3) 36√3 cm

☛ (4) 18√3 cm

Given :-

• Each side of an equilateral triangle is of 36 cm.

To Find :-

• What is the length of its median.

Formula Used :-

$\longrightarrow \sf\boxed{\bold{\pink{Median =\: \dfrac{\sqrt{3} \times Side}{2}}}}$

Solution :-

Let,

$\mapsto$ Length of its median of an equilateral triangle be x cm

Given :

• Side = 36 cm

According to the question by using the formula we get,

$\implies \sf x =\: \dfrac{\sqrt{3} \times \cancel{36}}{\cancel{2}}$

$\implies \sf x =\: \dfrac{\sqrt{3} \times 18}{1}$

$\implies \sf x =\: \dfrac{18\sqrt{3}}{1}$

$\implies \sf\bold{\red{x =\: 18\sqrt{3}\: cm}}$

$\therefore$ The length of its median of an equilateral triangle is 18√3 cm .

Hence, the correct options is option no (4) 18√3 cm .