Question

if the length of maedian of an equilateral triangle is 5 cm .then find its area
pls tell​

Answer 1

Answer:

10√3/3 sq. cm.

Step-by-step explanation:

Let the side of the Equilateral Triangle be x cm.

Altitude/ Median of an Equilateral Triangle:

$\frac{ \sqrt{3} a}{4}$

Given Median: 5cm.

So,

$\frac{ \sqrt{3} x}{4} = 5$

$x = 5 ( \frac{4}{ \sqrt{3} } )$

$x \: = \frac{20}{ \sqrt{3} } ( \frac{ \sqrt{3} }{ \sqrt{3} } )$

{Rationalizing the Denominator...}

x = 20√3/3

So, the side is 20√3/3 cm.

Area of an Equilateral Triangle:

(√3/4)a^2

(√3/4)(20√3/3)^2

(√3/4)(1200/90

(√3×1200)/(4×90)

10√3/3.

Hence the Area of the Equilateral Triangle is 10√3/3 cm sq.

{Hope it helped you...}

{Kindly Mark as Brainliest, its a request...}

Answer 2

Step-by-step explanation:

Length of Median = √3a/2

a = 5 cm

Median = √3 . 5/2

= 5√3/2