Answer:
n = 6
Step-by-step explanation:
See attachment for diagram
Triangle PQR is similar to triangle FGH.
Similar triangles are similar in shape but different in size.
The ratio of their corresponding sides are equal.
QP=10.5
QR=9
RP=6
GF=7
HF=4
GH=n
(Hypotenuse in ∆PQR)/ (hypothenuse in ∆FGH)
=(Adjacent in ∆PQR)/(adjacent in ∆FGH)
= 6/4 = 9/n
Cross multiply
6×n = 9×4
6n = 36
n = 36/6
n = 6
Therefore ratio of their corresponding sides = 3/2
