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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.
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If a polygon is equiangular then is?
All the angle have the same measure.
Prove that equilateral triangles are equiangular?
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
What is the measure of each angle of an equiangular triangle?
60 degrees
What is the measure of each angle if an equiangular triangle?
60 degrees.
Is every equiangular triangle an acute triangle?
Yes because the only way a triangle can be equiangular is if every angle is 60 degrees
