Equiangular TriangleFrom Latin: aequus -"equal" , angulum -"corner"
A triangle which has all three interior angles equal (congruent).
Try this Drag the orange dots on each vertex to reshape the triangle. Notice it always remains an equiangular triangle. The angles A,B and C always remain equal in measure.
An equiangular triangle is a triangle where all three interior angles are equal in measure. Because the interior angles of any triangle always add up to 180°, each angle is always a third of that, or 60°
The sides of an equiangular triangle are all the same length (congruent), and so an equiangular triangle is really the same thing as an equilateral triangle. See Equilateral Triangles.
All the angle have the same measure.
Statement Reason1. triangle ABC is equilateral..............................................given2. AC is congruent to BC;AB is congruent to AC........................................definition of equilateral3. angle A is congruent to angle B;and B is congruent to angle C.............................Isosceles Theorem4. angle A is congruent to angle C..................Transitive Property of Congruence5. triangle ABC is equiangular...............................Definition of equiangular
To write a two-column proof demonstrating that triangle EFB is equiangular given that triangle ABC is equiangular and line EF is parallel to AC, first list the given information in the left column. In the right column, write the corresponding statements: since EF is parallel to AC, by the Corresponding Angles Postulate, angle EFB is equal to angle ABC, and angle AEF is equal to angle CAB. Finally, since triangle ABC is equiangular, the third angle EBF will also be equal to angle ACB, proving triangle EFB is equiangular.
60 degrees
60 degrees.
Each angle is 60 degrees
All the angle have the same measure.
Statement Reason1. triangle ABC is equilateral..............................................given2. AC is congruent to BC;AB is congruent to AC........................................definition of equilateral3. angle A is congruent to angle B;and B is congruent to angle C.............................Isosceles Theorem4. angle A is congruent to angle C..................Transitive Property of Congruence5. triangle ABC is equiangular...............................Definition of equiangular
60 degrees
60 degrees.
no because an isosceles angle have 2 angles that are the same and 1 thts not
Each angle measures 60 degrees
Each interior angle measures 108 degrees
Yes because the only way a triangle can be equiangular is if every angle is 60 degrees
Having all angles with the same measure. A rectangle, for example is equiangular (each angle = 90 deg).
Each exterior angle measures 120 degrees
equiangular triangle