Joshuaw111 Joshuaw111
  • 10-11-2020
  • Mathematics
contestada

The altitude of an equilateral triangle is 4.2 meters long. Find the perimeter of the triangle.

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virtuematane virtuematane
  • 10-11-2020

Answer:

Step-by-step explanation:

s = √( 4.2*4.2 + (s/2)(s/2) )

s = √( 4.2*4.2 + (s^2/4) )

s^2= 4.2*4.2 + (s^2/4)

s^2 - (s^2/4) = 4.2*4.2

(4s^2/4) - (s^2/4) = 4.2*4.2

(3s^2/4) = 4.2*4.2

(3/4)s^2 = 4.2*4.2

s^2= 4.2*4.2*(4/3)

s = √( 4.2*4.2*(4/3) )

s = 2*4.2 * √( 1/3 )

s = 4.84974226119

answer:

perimeter = 3 * 4.84974226119

perimeter = 14.5492267836 meters

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