If a heat parallel to one next of a triangle intersects the various other two political parties of the triangle, then the heat divides these two sides proportionally.

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If D E ¯ ∥ B C ¯ , climate A D D B = A E E C .


example :

uncover the worth of x .

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The present Q R ¯     and also     S T ¯ space parallel.

Therefore, by the Triangle Proportionality Theorem,

ns S Q S = ns T R T

substitute the values and solve for x .

6 2 = 9 x

overcome multiply.

6 x = 18

division both sides by 6 .

6 x 6 = 18 6 x = 3

The value of x is 3 .


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