Answer:
HI=1/2*EF
17-3x=1/2*-9x+37
2(17-3x)=-9x+37
34-6x=-9x+37
-6x+9x=37-34
3x=3
x=3/3
x=1
now substitute the value of HI
17-3x
=17-3*1
=17-3
=14
Explanation:
Note :HI=1/2*EF because the straight line joining the mid points of two sides of a triangle is parallel to the third side and equal to half of it.