Answer:
LT = 5 , TJ = 30
Step-by-step explanation:
If a line is parallel to a side of a triangle and it intersects the other two sides, it divides those sides proportionally
TS is parallel ththe side LK and intersects the other two sides JL and JK, then
\(\frac{LT}{TJ}\) = \(\frac{KS}{JS}\)
note that TJ = 35 - LT and JS = 70 - KS = 70 - 10 = 60
substitute values into the proportion
\(\frac{LT}{35-LT}\) = \(\frac{10}{60}\) ( cross multiply )
60 LT = 10(35 - LT ) ← divide both sides by 10
6 LT = 35 - LT ( add LT to both sides )
7 LT = 35 ( divide both sides by 7 )
LT = 5
and
TJ = 35 - LT = 35 - 5 = 30
