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State Thale’s theorem.

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If a line is drawn parallel to one side of a triangle, then it divides the other two sides in the same ratio.

If a line is drawn perpendicular to one side of a triangle, then it divides the other two sides in the same ratio.

If a line is drawn parallel to one side of a rectangle, then it divides the other two sides in the same ratio.

If a line is drawn parallel to one side of a triangle, then it divides the other two sides in the unequal ratio.

answer is A.

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Detailed Solution

According to the Thales theorem, when a line is plotted parallel to one side of any triangle, then this line divides other 2 sides of the triangles in the same or equal ratio.
Let a triangle ABC.
Question Image

Draw a line PQ parallel to BC in the triangle. Here, by Thale’s theorem,

\frac{AP}{PB} = \frac{AQ}{QC}

Thale’s theorem is known as the theorem of basic proportionality.
Correct option is 1.

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