Question

In triangle ABC, point D lies on BC. E is the midpoint of AD. Prove that ar(EBC)=1/2ar(ABC)​

Answer 1

Answer: Given -- A ∆ABC.

D is the mid-point of BC

and E is the mid-point of AD.

To prove : ar (∆BED) = 1/4 ar (∆ABC)

Proof : Since AD is the median of ∆ABC,

Therefore, ar (∆ABD) = ar (∆ADC)

=> ar (∆ABD) = 1/2 ar (∆ABC) ---(1)

Since BE is the median of ABD,

Therefore, ar (∆BED) = ar (∆BAE)

=> ar (∆BED) = 1/2 ar (∆ABD)

= 1/2 × 1/2 ar (∆ABC) (using (1)

Hence, ar (BED) = 1/4 ar (∆ABC)

Step-by-step explanation:

Answer 2

Answer:

You are Ankit / Ankita studying in class VI of MODEL PUBLIC SCHOOL. You have lost your English Text in school. Draft a notice to be put up on the school notice board giving details of the book and offering a suitable reward. Use not more than 50 words.You are Ankit / Ankita studying in class VI of MODEL PUBLIC SCHOOL. You have lost your English Text in school. Draft a notice to be put up on the school notice board giving details of the book and offering a suitable reward. Use not more than 50 words.Ali and Ajayan set up a shop together. Ali invested 5000 rupees and Ajayan, 3000 rupees. They divided the profit for a month in the ratio of their investments and Ali got 2000 rupees. How much did Ajayan get? What is the total profit?Ali and Ajayan set up a shop together. Ali invested 5000 rupees and Ajayan, 3000 rupees. They divided the profit for a month in the ratio of their investments and Ali got 2000 rupees. How much did Ajayan get? What is the total profit?Ali and Ajayan set up a shop together. Ali invested 5000 rupees and Ajayan, 3000 rupees. They divided the profit for a month in the ratio of their investments and Ali got 2000 rupees. How much did Ajayan get? What is the total profit?