gwendalynn96
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Sagot :

Given:

The figure of a triangle.

To find:

The value of x.

Solution:

According to the triangle proportionality theorem, if a line segment divides the two sides of a triangle and parallel to the third side of the triangle, the it divides the two inclined sides proportionally.

Using triangle proportionality theorem, we get

[tex]\dfrac{2x}{80}=\dfrac{27}{60}[/tex]

[tex]\dfrac{x}{40}=\dfrac{9}{20}[/tex]

Multiply both sides by 40.

[tex]x=\dfrac{9}{20}\times 40[/tex]

[tex]x=9\times 2[/tex]

[tex]x=18[/tex]

Therefore, the value of x is 18.

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