Question

In the figure below, ∆ABC ~ ∆QRS.

If AB = 50, AC = 60, QS = 6, find QR.



Write a proportion and solve.

QR = ?

Answer 1

QR = 5

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.

`(AB)/(QR) = (BC)/(RS) = (AC)/(QS)`

AB = 50 ; AC = 60 ; QS = 6

From the above proportion ,

`(AB)/(QR)= (AC)/(QS)`

Putting all the values ,

`(50)/(QR) = (60)/(6)`

`= > (50)/(QR) = 10`

`= > QR = (50)/(10) = 5`

Answer 2

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)