what is the length of if ?
8 in.
8.75 in.
10.25 in.
14 in.

The length AJ is 8.75 in

Step-by-step 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

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Step-by-step explanation: