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Thales theorem is given by a greek mathe...

Thales theorem is given by a greek mathematician. According to this theorem, if a line is drawn parallel to one side of a triangle then it divides the other two sides in the same ratio. This theorem is also known as Basic Proportionality Theorem.

Here, the value of x is :

A

20 cm

B

15 cm

C

5 cm

D

10 cm

Text Solution

Verified by Experts

The correct Answer is:
A
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Basic proportionality Theorem or Thales Theorem - If a line is drawn parallel to one side of a triangle intersecting the other two sides; then it divides the two sides in the same ratio.

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Knowledge Check

  • If the line DE is drawn parallel | to the base BC of a triangle ABC by Intersecting the other two sides, then which of the following is the CORRECT equation for this case.

    A
    `(AB)/(DB) = (AC)/(EC)`
    B
    `(AD)/(AB) = (DB)/(EC)`
    C
    `(AD)/(DB) = (EC)/(AE)`
    D
    `(AD)/(DB) = (AE)/(EC)`
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    Prove that if a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then the other two sides are divided in the same ratio.

    'If a line is drawn to one side of a triangle to intersect the other two sides in distinct points, prove that the other two sides are divided in the same ratio.

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    Theorem 6.2 : If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side.

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