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We will be happy to post videos as per your requirements also. Do write to us.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
---- = ------
|1) EF ┴ BA||1) Construction|
|2) EF is the height of ∆ADE and ∆DBE||2) Definition of perpendicular|
|3)Area(∆ADE) = (AD .EF)/2||3)Area = (Base .height)/2|
|4)Area(∆DBE) =(DB.EF)/2||4) Area = (Base .height)/2|
|5)(Area(∆ADE))/(Area(∆DBE)) = AD/DB||5) Divide (4) by (5)|
|6) (Area(∆ADE))/(Area(∆DEC)) = AE/EC||6) Same as above|
|7) ∆DBE ~∆DEC|| 7) Both the ∆s are on the same base and
between the same || lines.
|8) Area(∆DBE)=area(∆DEC)||8) If the two triangles are similar their
areas are equal
|9) AD/DB =AE/EC||9) From (5) and (6) and (7)|
Russia-Ukraine crisis update - 3rd Mar 2022
The UN General assembly voted at an emergency session to demand an immediate halt to Moscow's attack on Ukraine and withdrawal of Russian troops.