Question

Help me do this pls rn

Answer 1

`\sf\\Solution:\\\textsf{Using Pythagoras theorem,}\\12^2=8^2+y^2\\or,\ y^2=12^2-8^2=80\\or,\ y=4\sqrt5`

`\sf\\Also,\\z^2=x^2+y^2\\or,\ z^2=x^2+80......(1)`

`\sf\\\textsf{In the largest right triangle,}\\(x+8)^2=z^2+12\\\textsf{Substituting value of } z^2 \textsf{ from equation (1),}\\(x+8)^2=x^2+80+12\\or,\ x^2+16x+64=x^2+92\\or,\ 16x=92-64=28\\or,\ x=(7)/(4)`

`\textsf{Equation (1) becomes:}\\\sf z^2=((7)/(4))^2+80=(1329)/(16)\\\\or,\ z=9.11`