Question

In right triangle ABC shown to the right AC=3x and BC=5x. If the perimeter of triangle ABC is 84, then x=?

Answer 1

http://mdtp.ucsd.edu/test_new/images/MR45W09/100dpi/MR45W21f.png

Answer 2

find AB by pythagoras theorem...

\[\Large (5x)^2-(3x)^2=AB^2\]
\[\Large 16x^2=AB^2\]
\[\Large 4x=AB\]
now find perimeter...

Answer 3

Thank you!