Respuesta :

Answer:

7

Step-by-step explanation:

You've said that both triangle are equal.

This means, both are in proportion

Let the unknown side be x

4 : 5 : x = 36 : 45 : 63

Divide LHS by 9

4 : 5 : x = 4 : 5 : 7

Since you may see x and 7 are same. So, the missing side is 7.

nikolaychuknadea

Answer:

Step-by-step explanation:

[tex]\frac{AB}{PQ} = \frac{BC}{QR}[/tex]                      #1 Find same sides  

So, [tex]\frac{4}{36} =\frac{BC}{63}[/tex]                 #2 fill it in.

36BC= 252                 #3 Cross multiply.

[tex]\frac{36BC}{36}[/tex]= [tex]\frac{252}{36}[/tex]                      #4 Divide by 36

BC= 7                           #5 Here's your answer!

If you want to check, plug the sides in.

[tex]\frac{4}{36} =\frac{5}{45} =\frac{7}{36}[/tex]

[tex]\frac{1}{9} =\frac{1}{9} =\frac{1}{9}[/tex]

The siplified fractions should all equal the same number. If they do, the triangles are similar.

Hope this helps!

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Good Luck!

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