# SOLUTION: Hi I asked this question before but forgot something How do you figure out the area of an triangle with all sides equal and the only number given is 5 thanks

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 Geometry: Triangles Solvers Lessons Answers archive Quiz In Depth

 Question 54594: Hi I asked this question before but forgot something How do you figure out the area of an triangle with all sides equal and the only number given is 5 thanks Answer by tutorcecilia(2152)   (Show Source): You can put this solution on YOUR website!Since all sides are equal and I am assuming that one side = 5, than all sides =5 including the base. Draw a picture of the triangle with all sides =5. . Area=(1/2)(base)(height)[Formula for the area of a triangle] A=(1/2)(5)(h) [Plug-in the values] . To find the value of the height, use the Pythagorean Theorem: a^2+b^2=c^2 Since entire base is 5, use (1/2)(base)=(1/2)(5)=2.5 in the Theorem: . (2.5)^2+b^2=c^2 . Since all sides=5, use 5 as one side in the Theorem: (2.5)^+5^2=c^2 6.25+25=c^2 31.25=c^2 sqrt(31.25)=sqrt(C^2) 5.59=c 5.59=height . A=(1/2)bh [Plug-in the values] A=(1/2)(5)(5.59) A=13.9754 . Check by plugging all of the values back into the Pythagorean Theorem.