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

 Jul 3, 2021
 #1
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what does $[ABC] = 240$ represent? 

 Jul 3, 2021
 #2
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Area of triangle ABC smiley

 

This question is WRONG!!!

[ABC] cannot be more than 200 square units!!!

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Here's the corrected question:

Triangle ABC is isosceles with AB = BC.  If AB = 20 and [ABC] = 180, then find the perimeter of triangle ABC.

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[ABC] = 180           AB = BC = 20

FE = [ABC] / BC = 9

 

x/9 = 9/(20-x)

 

x = 10 - √19

 

AC = 2[sqrt(x2 + 92)] ≈ 21.244

 

Perimeter ≈ 61.244

jugoslav  Jul 4, 2021
edited by jugoslav  Jul 5, 2021

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