Question

A traffic signal board indicating ‘SCHOOL AHEAD’ is an equilateral triangle with side ‘a’, then the height of the traffic signal board is

Answer 1

Answer:

1/2a²

Step-by-step explanation:

base will become half if height drawn

h=(a)²+(1/2a)²

h=a²+a²/4

=2a²/4

h=a²/2

h=1/2a²

Answer 2

Answer:

Given

Side of the signal board = a

Perimeter of the signal board = 3a = 180 cm

∴ a = 60 cm

Find out

We have to determine the Area of the triangular signal board

Semi perimeter of the signal board (s) = 3a/2

Formula

By using Heron’s formula, are of triangle=  

√ s ( s − a )( s −b ) ( s −c )

Solution

Area of the triangular signal board will be =

= √90(90-60)(90-60)(90-60)

= √90×(30)×(30)×(30)

= 900√3 cm2

Answer

Hence, the area of the signal board = 900√3 cm2