`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`

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

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=2\ c m , A B=6\ c m and A C=9\ c m , find A E . .

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 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 .

In Figure if /_A D E=/_B show that A D E ~ A B C . If A D=3. 8 c m , A E=3. 6 c m , B E=2. 1 c m and B C=4. 2 c m , find D E .

In Figure, D E || B C in /_\ A B C such that B C=8c m , A B=6c m and D A=1. 5 c m . Find D E .

If A B C ∼ D E F such that A B=1. 2 c m and D E=1. 4 c m . Find the ratio of areas of A B C and D E F .

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 .

Construct a quadrilateral A B C D given A D=5c m ,\ A B=5. 5 c m ,\ B C=2. 5 c m ,\ A C=7. 1 c m\ a n d\ B D=8c mdot