Question

20. Find the area of an equilateral triangle, whose one side measures 8
cm.​

Answer 1

According to the Heron's formula, Area (A) of the triangle having sides a,b,c units is

A=

s(s−a)(s−b)(s−c)

where

s=

2

a+b+c

For the given triangle,

a=b=c=8cm

s=

2

8+8+8

=12

A=

12(12−8)(12−8)(12−8)

A=

3×4×4

3

=4×4

3

=16

3

Area of the triangle =

2

1

×base×altitude=16

3

2

1

×8× altitude=16

3

Altitude =

4

16

3

=4

3

Hope it helps you my friend

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