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9- Prove.trails theorem. thails |
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Answer» ProofonThales theorem: If a line is drawn parallel to one side of a triangle and it intersects the other two sides at two distinct points then it divides the two sides in the same ratio. Basic 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. In ∆ABC , if DE || BC and intersects AB in D and AC in E then AD AE ---- = ------ DB EC Proof on Thales theorem : If a line is drawn parallel to one side of a triangle and it intersects the other two sides at two distinct points then it divides the two sides in the same ratio. Given :In ∆ABC , DE || BC and intersects AB in D and AC in E. Prove that :AD / DB = AE / EC Construction :Join BC,CD and draw EF ┴ BA and DG ┴ CA. |
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