Diagram of Triangle ABC Is triangle ABC an isoceles

Question

Diagram of Triangle ABC

Is triangle ABC an isoceles triangle?

(1) AB=AC
(2) Angle B=Angle C

Answer: D Each statement alone is sufficient

So is every equilateral triangle also an isoceles triangle because it has two sides and two angles that are equal?

MA · Answer

thats correct. i think so.

rxs0005 · Answer

my pick on this is E 

equilateral triangle is where each angle is 60

and isoceles is specficially 2 sides only are equal 

here we do not know abt the anlge A and side BC so it wud be E

christoph · Answer

the isoceles triangle has at least 2 equal sides as well as at least 2 equal angles.

the equilateral triangle has 3 equal sides as well as 3 equal angles.

equilateral triangle MUST be a isoceles triangle and a isoceles triangle CAN be a equilateral triangle.

july05 · Answer

sorry i misread the problem. it's D

christoph · Answer

right ! <img src="{SMILIES_PATH}/icon_biggrin.gif" alt=":-D" title="Very Happy" />

HowManyToGo · Answer

since both the statements supply the same info AB = AC we don't know if each of these two is indeed not equal to the third side BC ( which is necessary to decide if the triangle is isoceles).

def of isoseles triangle : only 2 sides of a triangle should be equal , if all 3 are it is equilateral , if none are equal it is equilateral.

Hope this clears it up.

HMTG

HongHu · Answer

an equilateral triangle is always an isoceles triangle.

Diagram of Triangle ABC Is triangle ABC an isoceles

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