QS/AC=6/60=1/10
QR/AB=QR/50=1/10
QR=5
SO THAT TRIANGLE ABC IS EQUAL TO TRIANGLE QRS(2SIDES PROPORTIONAL.INC. ANGLE)
Answer:
QR = 5
Step-by-step explanation:
It's given that ∆ABC ~ ∆QRS. As both of them are similar , the ratio of corresponding sides of both triangles will be proportional to each other.
[tex] \frac{AB}{QR} = \frac{BC}{RS} = \frac{AC}{QS} [/tex]
AB = 50 ; AC = 60 ; QS = 6
From the above proportion ,
[tex] \frac{AB}{QR}= \frac{AC}{QS}[/tex]
Putting all the values ,
[tex] \frac{50}{QR} = \frac{60}{6} [/tex]
[tex] = > \frac{50}{QR} = 10[/tex]
[tex] = > QR = \frac{50}{10} = 5[/tex]
