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2 years ago

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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