PROVE TRIANGLE ABC IS EQUILATERAL?

Notice at also AD=BE=CF.

You can now show that the 3 little triangles on the outside are congruent via side-angle-side, then will see that they all have the same length side as one of the sides of the equilateral triangle inside.

for triangle fbd facebook = bd --------------------Given so, fbd is isosceles ------- 2 factors are equivalent. attitude bfd = attitude bdf ---- Base attitude of isosceles attitude bfd = attitude bdf = 60 ---------- one hundred eighty - attitude b= one hundred twenty triangle fbd = equiangular ----------- 3 angles are equivalent triangle fbd = equilateral and fd = a million/2 of a leg of abc For triangles afe and edc, you're able to do an identical and are available up that ef and de are equivalent to a million/2 of a leg of abc. so, triangle def is equilateral.