Respuesta :

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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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