A traffic signal board indicating ‘SCHOOL AHEAD’ is an equilateral triangle with side ‘a’, then the height of the traffic signal board is
Answers
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4
Answer:
the answer is root3/2 a.
Answered by
1
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
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