Answer:
EI=6 units
LJ=8 units
ST=9 units
Step-by-step explanation:
step 1
we know that
The triangle ELT is a circumscribed triangle
so
EI=ES
LI=LJ
TS=TJ
EL=EI+LI ------> 14=EI+LI -----> 14=EI+LJ -----> equation A
LT=LJ+TJ----> 17=LJ+TJ ----> 17=LJ+TS ----> equation B
ET=ES+TS ---> 15=ES+TS----> 15=EI+TS ----> equation C
Subtract equation A from equation C
15=EI+TS
14=EI+LJ
--------------
15-14=TS-LJ
TS=1+LJ ------> equation D
substitute equation D in equation B and solve for LJ
17=LJ+(1+LJ)
17=2LJ+1
2LJ=17-1
LJ=8
Find the value of TS
TS=1+LJ -----> TS=1+8=9
Find the value of EI
14=EI+LJ ------> 14=EI+8 ----> EI=14-8=6
therefore
EI=6 units
LJ=8 units
ST=9 units
