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1 vote
In the figure below, ∆ABC ~ ∆QRS.

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



Write a proportion and solve.

QR = ?

User Kimmo
by
7.9k points

2 Answers

4 votes

Answer:

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

User GalileoMonkey
by
8.8k points
5 votes

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)

User Karmen Blake
by
8.3k points

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