Answer:
|SQ|=5
Step-by-step explanation:
If S is the median, then OP is a median of triangle OMN.
This implies that:
|MP|=|NP|
[tex]3x-4=x+4[/tex]
We group like terms and solve for x.
[tex]3x-x=4+4[/tex]
[tex]\implies 2x=8[/tex]
[tex]\implies x=4[/tex]
Now we know that: MN:SQ=2:1
But MN=2x+2
This implies that:
2x+2:SQ=2:1
Put x=4
2(4)+2:SQ=2:1
10:SQ=2:1
Therefore |SQ|=5
