# SOLUTION: Given a length of 1, construct a triangle with a perimeter of 3 plus the square root of 5. Explain the steps in your construction.

Algebra ->  Algebra  -> Triangles -> SOLUTION: Given a length of 1, construct a triangle with a perimeter of 3 plus the square root of 5. Explain the steps in your construction.       Log On

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 Geometry: Triangles Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Triangles Question 564346: Given a length of 1, construct a triangle with a perimeter of 3 plus the square root of 5. Explain the steps in your construction. Answer by ad_alta(240)   (Show Source): You can put this solution on YOUR website!This is an interesting question. You can intuit the answer, or use more advanced math to get at it directly. Given a length of one, I would measure out a side of length 2 and then a side of length 1 so that the two sides were perpendicular. Then, but the Pythagorean theorem, the hypotenuse has length sqrt(5). Thus, the perimeter is 1+2+sqrt(5)=3+sqrt(5).