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yarga [219]
2 years ago
12

In the figure below, ∆ABC ~ ∆QRS.

Mathematics
2 answers:
Hatshy [7]2 years ago
8 0

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.

\frac{AB}{QR}  =  \frac{BC}{RS}  =  \frac{AC}{QS}

AB = 50 ; AC = 60 ; QS = 6

From the above proportion ,

\frac{AB}{QR}=  \frac{AC}{QS}

Putting all the values ,

\frac{50}{QR}  =  \frac{60}{6}

=  >  \frac{50}{QR}  = 10

=  > QR =  \frac{50}{10}  = 5

sergiy2304 [10]2 years ago
5 0

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)

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