# SOLUTION: A rectangle box with a base 6 by 8 has a diagonal of length 20. Find the exact height of the box.

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A rectangle box with a base 6 by 8 has a diagonal of length 20. Find the exact height of the box.      Log On

 Ad: Over 600 Algebra Word Problems at edhelper.com Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Word Problems: Geometry Solvers Lessons Answers archive Quiz In Depth

 Question 356609: A rectangle box with a base 6 by 8 has a diagonal of length 20. Find the exact height of the box.Answer by edjones(7569)   (Show Source): You can put this solution on YOUR website!6^2+8^2 =36+64 =100 sqrt(100)=10 diagonal of the base of the box. . hypotenuse=20 given. Goes from the base of one corner to the top of the other corner. a^2+10^2=20^2 a^2+100=400 a^2=300 a=sqrt(300) =sqrt(100*3) =10sqrt(3) exact height of box. . Ed