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Find the missing length indicated
A) 25
B) 5
C) 8
D) 3

Find The Missing Length Indicated A 25 B 5 C 8 D 3 class=

Sagot :

Given:

The figure of a triangle.

To find:

The missing length.

Solution:

Let x be the missing length.

Basic proportionality theorem(BPT): According to this theorem, if a line is parallel to the one side of a triangle then that the line intersects the other two sides of the triangle in the same ratio.

Using Basic proportionality theorem, we get

[tex]\dfrac{6}{8-6}=\dfrac{12-x}{x}[/tex]

[tex]\dfrac{6}{2}=\dfrac{12-x}{x}[/tex]

[tex]3=\dfrac{12-x}{x}[/tex]

[tex]3x=12-x[/tex]

Adding x on both sides, we get

[tex]3x+x=12[/tex]

[tex]4x=12[/tex]

[tex]x=\dfrac{12}{4}[/tex]

[tex]x=3[/tex]

The missing length is 3 Therefore, the correct option is D.

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