Answer:
The length AJ is 8.75 in
Explanation:
Find the length of AJ
we know that
Triangles HJK and HAB are similar
Remember that
If two figures are similar then the ratio of its corresponding sides is proportional
AH/HJ=HB/HK
Substitute the given values and solve for HJ
5.25/HJ=3/(3+5)
HJ=5.25*8/3
HJ=14 in
HJ=HA+AJ
AJ=HJ-HA
AJ=14-5.25=8.75 in