Respuesta :

altavistard

Answer:

|QR| = 17.6

Step-by-step explanation:

To answer this we need to show that the triangles are similar or to assume that they are similar.

Note the following:

1.  The ratio of the longest sides is 12.5 to 25.0, or 1/2;

2.  The ratio of the shortest sides is 5.2 to 10.4, or 1/2

Therefore the ratio of the longer legs is 8.8 to QR, also equal to 1/2

 8.8        1

-------- = -----

  QR       2

Cross-multiplying, we get |QR| = 17.6

Nayefx

Answer:

[tex] \displaystyle B )\overline{ \text{QR }}= 17.6 cm[/tex]

Step-by-step explanation:

we have two similar triangles

we want to figure out the measure of QR

remember that,

the ratio of the corresponding sides of two similar triangles is equal

thus,

[tex] \displaystyle \frac{8 .8}{QR} = \frac{5.2}{10.4} [/tex]

cross multiplication:

[tex] \displaystyle5.2 QR = 91.52[/tex]

divide both sides by 5.2:

[tex] \displaystyle \frac{5.2 QR }{5.2}= \frac{ 9 1.52}{5.2}[/tex]

simplify division:

[tex] \displaystyle QR = 17.6 cm[/tex]

hence, our answer is B

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