How does the area of one triangle compare to the area of the larger triangle?

Question

I have a large equilateral triangle inscribed with another equilateral triangle and inside that is a third equilateral triangle .
How does the area of the smaller triangle compare to the area of the large triangle?
Thank you

Answer 1

The smaller triangle is 1/16 the larger triangle.

Answer 2

The area of an equilateral triangle is (sqrt3/4)*side^2
Therefore,the areas will vary with the square of their sides.that means,if one triangle has a side of 2 cm and the other 1 cm,the first one will be having an area of 4 times of the second one.

Answer 3

when you consider that section is what number sq. gadgets can greater healthful interior a 2-dimensional shape, the triangle with a miles better perimeter could have a miles better section. you ought to use the formulation (a million/2 base)x(top). in case you do no longer comprehend the top, you additionally can discover the section with in basic terms the facets. This formulation is greater artwork however. we are able to prefer the semi-perimeter (sp) that's a million/2 the full perimeter, or, (facet a + facet b + facet c) divided by skill of 2. The formulation is [((sp-a)x(sp-b)x(sp-c)) x (sp)]. p.s. (a,b, and c are the facets)