`D` and `E` are the points on the sides `A B` and `A C` respectively of a ` A B C` such that: `A D=8c m ,\ \ D B=12 c m ,\ \ A E=6c m` and `C E=9c m` . Prove that `B C=5//2\ D E` .

D and E are the points on the sides A B and A C respectively of a triangle A B C such that: A D=8c m ,\ \ D B=12 c m ,\ \ A E=6c m and C E=9c m . Prove that B C=5//2\ D E .

In a A B C , D and E are points on the sides A B and A C respectively such that D E || B C If A D=6\ c m , D B=9\ c m and A E=8\ c m , find A C .

D and E are points on sides AB and AC respectively of Delta A B C such that a r\ (D B C)\ =\ a r\ (E B C) . Prove that D E||B C .

D and E are points on sides AB and AC respectively of DeltaA B C such that a r\ (D B C)\ =\ a r\ (E B C) . Prove that D E\ ||\ B C .

In a A B C , D and E are points on the sides A B and A C respectively such that D E// B C If A D=2\ c m , A B=6\ c m and A C=9\ c m , find A E . .

Da n dE are respectively the points on the side A Ba n dA C of a A B C such that A B=5. 6 c m ,A D=1. 4 c m ,A C=7. 2 c m and A E=1. 8 c m , show that D E ||B Cdot

If D and E are points on sides A B and A C respectively of a triangle A B C such that D E || B C and B D=C E . Prove that A B C is isosceles.

In a A B C ,\ \ D\ a n d\ E are points on the sides A B and A C respectively. For each of the following cases show that D E// B C : A B=12\ c m ,\ \ A D=8\ c m ,\ \ A E=12\ c m\ a n d\ A C=18\ c m .

In a A B C , D a n d E are points on the sides A B and A C respectively. For each of the following cases show that D E B C : A B=12 c m , A D=8 c m , A E=12 c m a n d A C=18 c m . (ii) A B=5. 6 c m , A D=1. 4 c m , A C=7. 2 c m a n d A E=1. 8 cm

In a A B C ,\ \ D\ a n d\ E are points on the sides A B and A C respectively. For each of the following cases show that D E B C : A B=10. 8 c m ,\ \ B D=4. 5\ c m ,\ \ A C=4. 8 c m\ a n d\ A E=2. 8 c m (ii) A D=5. 7 c m ,\ \ B D=9. 5 c m ,\ \ A E=3. 3 c m\ a n d\ E C=5. 5 c m .