Respuesta :

Riia

In this question, the two triangles are similar, so we have to use the similarity property of triangle which is

Corresponding sides of the similar triangles are in same proportion .

So we get

9/x = 10/12.5

Performing cross multiplication

10 x = 9*12.5

x = 11.25

So the correct option is the first option .

The triangles are similar

So, ratio of similar sides is equal

So, [tex] \frac{x}{9} =\frac{12.5}{10} [/tex]

To get the value of x , let us multiply by 9 on both sides

[tex] 9*\frac{x}{9} =9*\frac{12.5}{10} [/tex]

[tex] \frac{1x}{1} =\frac{12.5*9}{10} [/tex]

x=[tex] \frac{112.5}{10} [/tex]

x=11.25 Option A

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