Show that the angles of an equilateral triangle are of measure of 60 degree each
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Show that the angles of an equilateral triangle are of measure of 60 degree each
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We know that,
Equilateral triangle is a triangle in which all three sides are equal and all three interior angles are equal.
Let,
ABC be an equilateral triangle
So,
AB = AC = BC
To be proof :
All three interior angles of equilateral triangle are 60°
So,
Here,
⇒
[ ∴ as ]
⇒
⇒
⇒
Hence,
so,
Hence proved.
Verified answer
Let a be the angle of trianglesince 3 sides are equal
therefore,all angles will be equal
<a+<a+<a=180
3<a=180
<a=180\3
<a=60°