Answer:
13. PM=31 14. KN=34 15. OL=36.6 KP=46
Step-by-step explanation:
13. PM≅PN≅PO 14.KM≅KN
15.[tex]x^{2}+31^{2}=48^{2}[/tex]
[tex]x^{2} +961=2304\\[/tex]
subtract 961 from both sides
[tex]\sqrt{x^2} =\sqrt{1343}\\x=36.6[/tex]
16. [tex]31^{2} +34^{2}=x^{2}[/tex]
[tex]961+1156=x^{2}[/tex]
add 961 and 1156 together
[tex]\sqrt{2117^2} }=\sqrt{x^{2} }[/tex][tex]x=46.0[/tex]