Question

ᴘʟᴇᴀsᴇ sᴏʟᴠᴇ ɴᴏ. 13 ✌︎​

Answer 1

ɢɪᴠᴇɴ-:

In ∆ABC,D and E are the midpoints of AB and AC respectively.

Therefore,DE || BC (By converse of mid point theoram)

Also,DE = $\sf\frac{1}{2BC}$

In ∆ADE and ∆ABC

∠ADE = ∠B (corresponding angles)

∠DAE = ∠BAC (common)

∆ADE = ∆ABC (By AA similarity)

We know that the ratio of areas of two similar triangles is equal to the ratio of square of their corresponding sides.

☞$\sf\frac{area(∆ADE)}{area(∆ABC}$ = $\sf\frac{AD^2}{AB^2}$

[AB = 2AB as D is the mid point]

☞$\sf\frac{area(∆ADE)}{area(∆ABC}$ = $\sf\frac{1^2}{2^2}$

☞$\sf\frac{area(∆ADE)}{area(∆ABC}$ = $\sf\frac{1}{4}$

Hence,the ratio of the areas ∆ADE and ∆ABC is area(∆ADE) : area(∆ABC) = 1:4

Answer 2

Step-by-step explanation:

The dairy industry processes raw milk into an array of products including butter, cheese, cream, yogurt, ghee, condensed milk, dried milk, ice cream, etc. and produces various by-products including buttermilk, whey, ghee, and skim milk.