Respuesta :

Kaikerscupcake
Hey there! :D

In the triangle, you can see that BA has lengths 12 and 6.

Well, 6 is half of 12.

So, 

26/2= 13

x=13

The sides are proportional, so the same factor works for both sides.

I hope this helps!
~kaikers

Answer:

x = 13 units    

Step-by-step explanation:

Given that : PQ ║ BC

To find : The value of x

Solution :

In ΔAPQ and ΔABC

∠APQ = ∠ABC ( Corresponding angles are always equal)

∠AQP = ∠ACB (Corresponding angles are always equal)

So, By AA similarity postulate of triangles, ΔAPQ ~ ΔABC

Since, The sides of the similar triangles are proportional to each other

[tex]\implies\frac{AP}{AB}=\frac{AQ}{AC}\\\\\implies\frac{6}{12+6}=\frac{x}{26+x}\\\\\implies 18x=26\times 6+6x\\\\\implies 12x=26\times 6\\\\\implies\bf x = 13[/tex]

Hence, AQ = 13 units

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