The value of x in the given diagram will be 7.
What are similar triangles?
Similar triangle are those which have two pairs of interior corresponding angles are equal.
We have,
Two triangles as shown in the given figure,
Now,
Both the given triangles have 90° corresponding angles and also the opposite angle of 90° of both triangles is equal.
So,
Using triangle similarity rule,
i.e.
Sides are in equal proportion,
i.e.
[tex]\frac{49}{x} =\frac{14}{2}[/tex]
⇒
14x = 49 × 2
14x = 98
[tex]x=\frac{98}{14}[/tex]
x = 7
Hence, we can say that the value of x in the given diagram will be 7.
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