The length of midsegment ST will be 6. The perimeter of the triangle is given.
What is perimeter?
It's the sum of length of the sides used to make the given figure.
The perimeter of AJKL is 106;
⇒KS+SJ+JL+LT+TK=106
⇒3x+3+3x+3+5x+7+4x-1+4x-1=106
⇒19x+11=106
⇒19x=95
⇒x=5
The side JL is obtained by,x=5
JL=5x+7
JL=5×(5)+7
JL=32
The side ST is obtained
ST=(1/2)×JL
ST= 1/2 of 32
ST = 16
Hence, the length of midsegment ST will be 16.
Learn more about perimeter refer:
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