# SOLUTION: right triangle.the longest side of a right triangle is 3 inches less than twice the shortest side.the third side measures 12 inches.find the length ot the shortest side

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 Geometry: Triangles Solvers Lessons Answers archive Quiz In Depth

 Question 67501: right triangle.the longest side of a right triangle is 3 inches less than twice the shortest side.the third side measures 12 inches.find the length ot the shortest sideAnswer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!X^2+12^2=(2X-3)^2 X^2+144=4X^2-12X+9 X^2-4X^2+12X+135=0 -3X^2+8X+135=0 3X^2-8X-135=0 USING THE QUADRATIC EQUATION WE GET: X=(-B+-SQRT[B^2-4AC])/2A X=(8+-SQRT[64-4*3*-135])/2*3 X=(8+-SQRT[64+1620])/6 X=(8+-SQRT1684)/6 X=(8+-41.036457)/6 X=(8+41.036457)/6 X=49.036457/6 X=8.17 INCHES FOR THE SHORTEST SIDE.