Question

My question can be found attached.

Answer 1

Question 3

Answer 2

There is a special formula to find the area of an equilateral triangle. Do you know it?

Answer 3

Using this formula you can find the area without having to know the height(only for equilateral triangles.

Answer 4

I am pretty confident I can find the area of the trianagle, what I am confused about is now to find the area of the segments without a radius.

Answer 5

Each segment is a semicircle, am I right?

Answer 6

really??

Answer 7

Or is it a third of a circle?

Answer 8

Now that I see it closely, I don't think its a semicircle. What part of a circle do you think it is?

Answer 9

I really do not know. A third does seem correct, but it would still be kind of a guess.

Answer 10

Lets take it as a third(I don't know how else to do it).
So the area of the three segments together would be the area of one circle.
We know that diameter is 14 cm(because the side of the triangle is 14 cm).
So the area would be:
pi * r * r
= 22/7 * 7 * 7
This is a guess(considering that each segment is one third of a circle).

Answer 11

i think this has something to do with sine law or cosine law?

Answer 12

instead, it has something to do with the centroid

Answer 13

yes

Answer 14

this is a method shown to me by @asnaseer ,