Question

show that each angle of an equilateral triangle 60°
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Answer 1

Accordingly, all the 3 sides of the equilateral triangle hold equal angles. Since, we know, that the sum of all angles of any triangle be 180° . Let each angle be a. ... Hence, we can show that all the 3 angles of an equilateral triangle hold equal angles; i.e. 60°.

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Answer 2

Step-by-step explanation:

Let ABC be a equilateral triangle

therefore AB=BC=AC

Now Since AB=AC

<B= <C.......... (1)

Also, AB =BC

<A=<C.............(2)

From (1)&(2)

<A=<B=<C

And in ΔABC,

<A+<B+<C=180°

=> 3<A=180°

=> <A=60°

Therefore <A=<B=<C=60°

Hence Proved