Question

Explane Thales theorem​

Answer 1

Answer:

Thales =basic proportionality therom

Step-by-step explanation:

we need to prove ad/db=ae/ec

now area of ∆ade=1/2 ad×en

so, ar(ade)=1/2 ad×en

similarly, ar(bde)=1/2 db×en

ar(ade)= 1/2ae×dm and ar(dec)= 1/2 ec×dm

therefore, ar(ade)/ar(bde) = 1/2ad×en/1/2db×en

=ad/db. (1)

and, ar(ade)/ar(dec) = 1/2ae×dm/1/2ec×dm

=ae/ec. (2)

note that ∆bde and dec are on the same base de and between the same parallels bc and de

so,ar(bde) = ar(dec). (3)

therefore,from(1),(2),(3),we have:

ad/db=ae/ec. hence prove.

be hope you understand

Answer 2

answer-Two Triangles or Polygons are similar, if there corresponding angle and sides are proportional. Proportionality Theorem (Thales theorem): If a line is drawn parallel to one side of a triangle intersecting other two sides, then it divides the two sides in the same ratio. ... between the same || lines.

hope it helps✌✌

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