We at ask-math believe that educational material should be free for everyone. Please use the content of this website for in-depth understanding of the concepts. Additionally, we have created and posted videos on our youtube.
We also offer One to One / Group Tutoring sessions / Homework help for Mathematics from Grade 4th to 12th for algebra, geometry, trigonometry, pre-calculus, and calculus for US, UK, Europe, South east Asia and UAE students.
Affiliations with Schools & Educational institutions are also welcome.
Please reach out to us on [email protected] / Whatsapp +919998367796 / Skype id: anitagovilkar.abhijit
We will be happy to post videos as per your requirements also. Do write to us.
Converse of Basic Proportionality Theorem: If a line divides any two sides of a triangle in the same ratio, then the line must be parallel to the third side.If AD AE ---- = ------ then DE || BC DB EC |
|
|
1) DF || BC | 1) By assumption |
2) AD / DB = AF / FC | 2) By Basic Proportionality theorem |
3) AD / DB = AE /EC | 3) Given |
4) AF / FC = AE / EC | 4) By transitivity (from 2 and 3) |
5) (AF/FC) + 1 = (AE/EC) + 1 | 5) Adding 1 to both side |
6) (AF + FC )/FC = (AE + EC)/EC | 6) By simplifying |
7) AC /FC = AC / EC | 7) AC = AF + FC and AC = AE + EC |
8) FC = EC | 8) As the numerator are same so denominators are equal |
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.