Answer :
Answer:
[tex]PS=2\sqrt{6}[/tex]
Step-by-step explanation:
we are given triangle as
we know that
triangle PRS and triangle PQS are similar
so, the ratios of their sides must be equal
we get
[tex]\frac{RS}{PS}=\frac{PS}{QS}[/tex]
now, we are given
RS=4
QS=6
we can plug it
[tex]\frac{4}{PS}=\frac{PS}{6}[/tex]
[tex]PS^2=6\times 4[/tex]
[tex]PS^2=24[/tex]
now, we can solve for PS
[tex]PS=2\sqrt{6}[/tex]
