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In a A B C ,D and E are points on sides...

In a ` A B C ,D` and `E` are points on sides `A Ba n dA C` respectively such that `B D=C Edot` If `/_B=/_C ,` show that `D E B Cdot`

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To solve the problem, we need to show that line segment DE is parallel to line segment BC in triangle ABC, given that BD = CE and ∠B = ∠C. ### Step-by-Step Solution: 1. **Identify Given Information:** - We have triangle ABC. - Points D and E are on sides AB and AC respectively. - It is given that BD = CE. ...
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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

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In a \ A B C , If L\ a n d\ M are points on A B\ a n d\ A C respectively such that L M B Cdot Prove that: a r\ (\ L B C)=\ a r\ (\ M B C)

In a A B C , D and E are points on A B and A C respectively such that D E// B C . If A D=2. 4 c m ,\ \ A E=3. 2 c m ,\ \ D E=2c m and B C=5c m , find B D and C E .

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