A company makes traffic signs.One of their signs can be modeled by an equilateral triangle with a perimeter of 144 inches. The company makes a similar sign with perimeter that is 1.25 times the one shown. What is the height in inches of the larger sign?

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Answer:

The perimeter of the larger sign : 144*1,25= 180 inches

Side of the triangle= 180/3= 60 inches

square of the height= 60^(2) - 30^(2)= 2700 ( Pythagoras' theorem)

height= square root ( 2700)= 51,96

Step-by-step explanation: