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Triangle ABC is isosceles with AB=BC.  If AC = 20 and [ABC] = 240, then find the perimeter of triangle ABC.
 

 May 24, 2020
 #1
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We can work out that the height of triangle ABC is 32.  So the perimeter of triangle ABC is 94.

 May 24, 2020
 #2
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Triangle ABC is isosceles with AB=BC.  If AC = 20 and [ABC] = 240, then find the perimeter of triangle ABC.

 

ABC area is 240 u²            AC = 20

 

Height    H = 240/ (20/2) = 24

 

AB = sqrt[( 10² + 24²) = 26            AB = BC

 

Parameter    P = AB + BC + AC = 72  smiley

Guest May 24, 2020

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