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The sides of an isosceles triangle have lengths 2x + 4 and x + 8. The base has length 5x - 2  What is the area of the triangle?

 Sep 15, 2020
 #1
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2x+4=x+8 --> x=4. So the sides are 12,12, and 18. Drawing the altitude, by the pythagorean theorem, we have the height = sqrt(12^2-(18/2)^2)=sqrt(144-81)=sqrt(63)=3*sqrt(7). So the area is 27sqrt7

 Sep 15, 2020
 #2
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 Sep 15, 2020
edited by Guest  Sep 15, 2020
edited by Guest  Sep 15, 2020
edited by Guest  Sep 15, 2020
edited by Guest  Sep 15, 2020
edited by Guest  Sep 15, 2020

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