Question

A traffic signboard indicating 'SCHOOL AHEAD' is an equilateral triangle with perimeter 48 cm. Find the area of this signboard.​

Answer 1

Step-by-step explanation:

If the perimeter of the equilateral traffic signboard is 48cm.

Then,

Let the side of the equilateral triangle be 'x'.

3x=48cm

x=48÷3

x=16 cm

a=16cm b=16cm c=16cm

Semi perimeter (S)=48÷2

S=24

Herons Formula = root s(s-a)(s-b)(s-c)

=root 24(24-16)³

=root 24×8×8×8

=root 3×8×8×8×8

=8×8 root 3

=64 root 3

Hence, the area of the signboard is 64 root 3.

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