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Trying to find the missing segment to the triangle in the attached image. Any help would be appreciated. Thanks.

Trying to find the missing segment to the triangle in the attached image. Any help-example-1

1 Answer

6 votes

Answer:

24 unit

Explanation:

This question can be solved using concept of basic proportionality theorem,

according to this theorem, if a line is drawn parallel to one side of the triangle and intersect the other two sides then the two sides are divided in the same ratio.

Example:

let there be a triangle ABC

if DE is drawn parallel to BC such that D is a point on line AB and E is other point on AC, then

AD/DB = AE/EC (basic proportionality theorem)

_____________________________________

Similarly in this problem

15/5 = ?/8

3= ?/8

? = 8*3 = 24

Thus. missing segment value is 24 unit.

User Pedro Perez
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