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3 years ago

Which of the following is defined by a line parallel to one side of a triangle

Mathematics

1 answer:

Katarina [22]3 years ago

3 0

Answer:

Triangle Proportionality Theorem is defined by a line parallel to one side of a triangle divides the other two sides proportionally.

Step-by-step explanation:

Triangular Proportionality Theorem states that:

If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally.

Let us consider the triangle ΔABC as shown in attached figure.

$DE$ ║ $AC$

then

$\frac{BD}{DA} = \frac{BE}{EC}$

Therefore, Triangle Proportionality Theorem is defined by a line parallel to one side of a triangle divides the other two sides proportionally.

Keywords: Triangle Proportionality Theorem, triangle, line segment

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Source:
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