Question

Find the area of an equilateral traingle whose perimeter is 24.


Chapter name - Heron's Formula​

Answer 1

Step-by-step explanation:

Side of equilateral triangle=24/3=8 unit

Area of equilateral triangle=root3/4×side^2

=16root3 unit^2

Answer 2

Step-by-step explanation:

HI MATE

SO YOU WANT IT SOLVED BY HERONS FORMULA OK

FIRST CONDITION ;

PERIMETER OF EQUILATERAL TRIANGLE

= 24

SINCE

24 =3×{SIDE}

SIDE =8 unit

SECOND CONDITION:

HERONS FORMULA =√S×(s-a)(s-b)(s-c)

where s =A+ B+ C (A,B,C are sides ) 2

S= 24/2=12

area =√ 12×(12-8)(12-8)(12-8)

=√12× 4×4×4

=√12×64

= 8√12 =8√4×3

area of triangle =16√3 unit sq.

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