# SOLUTION: Please help me solve this word problem: There is a 30-60-90 triangle with an area of 24 radical 3. What is the perimeter of this triangle, and what are the side lengths? (All in

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 Geometry: Area and Surface Area Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Surface-area Question 369955: Please help me solve this word problem: There is a 30-60-90 triangle with an area of 24 radical 3. What is the perimeter of this triangle, and what are the side lengths? (All in terms of X) Thanks so much for the help.Answer by mananth(12270)   (Show Source): You can put this solution on YOUR website!in a 30-60-90 triangle the legs are x & xsqrt3 the hypotenuse = 2x .. Area = !/2 * base * height multiply by 2 divide by sqrt3 x^2= 48 x = 6.92 hypotenuse = 2*6.92= 13.84 second leg = x sqrt*(3) =6.92*sqrt*(3) = 11.98 .. perimeter = 11.98+6.92+13.84= 32.74 m.ananth@hotmail.ca