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gayaneshka [121]
2 years ago
11

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

Mathematics
1 answer:
Nonamiya [84]2 years ago
3 0

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

\dfrac{6}{8-6}=\dfrac{12-x}{x}

\dfrac{6}{2}=\dfrac{12-x}{x}

3=\dfrac{12-x}{x}

3x=12-x

Adding x on both sides, we get

3x+x=12

4x=12

x=\dfrac{12}{4}

x=3

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

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