I'll be happy to help you, but in order for me to compare the areas of those triangles, you have to tell me the areas of those triangles.
Yes
Divide the polygon into triangles. Calculate the areas of the triangles and then sum these.
Only if the two triangles are congruent will they have equal areas. A third fact is required to determine they are congruent (and thus have the same area): 1) The third sides are equal; 2) The angles enclosed between the sides are equal; or 3) The same one of the sides is the hypotenuse of the triangles, which are right angled triangles.
Yes.
I'll be happy to help you, but in order for me to compare the areas of those triangles, you have to tell me the areas of those triangles.
yes
In general, you divide up the polygon into triangles, calculate the areas of the triangles and then sum these.
In most cases, no.
Yes
by checking the edges
Divide the polygon into triangles. Calculate the areas of the triangles and then sum these.
Only if the two triangles are congruent will they have equal areas. A third fact is required to determine they are congruent (and thus have the same area): 1) The third sides are equal; 2) The angles enclosed between the sides are equal; or 3) The same one of the sides is the hypotenuse of the triangles, which are right angled triangles.
The ratio of two circles to three triangles is not a straightforward comparison as circles and triangles are different shapes. However, if we are comparing the areas of two circles to the combined areas of three triangles, we would need to calculate the area of each shape using their respective formulas (πr^2 for circles and 1/2 base x height for triangles) and then compare the total areas. The ratio would then be the total area of the circles divided by the total area of the triangles.
The only general way is to divide the pentagon into three triangles, calculate the areas of the triangles and add them together.
Yes.
The easiest method is to split the octagon up into triangles and sum the areas of the triangles.