How many triangles can be constructed with three angles, each measuring 64°?

none

one

more than one

lo.lll

step-by-step explanation:

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

if the angular bisector of an triangle bisects the opposite side, prove that the other two sides are equal.

the answer to this would be 5x^3-6x^2-24 over 3x^2

hope this if needed hmu