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Grade: 12th pass

                        

8. Show that the angles of an equilateral triangle are 60° • each.

8. Show that the angles of an equilateral triangle are 60°

• each.

one month ago

Answers : (1)

Pawan Prajapati
askIITians Faculty
5328 Points
							As A ABC is equilateral. 
:. AB = BC = CA 
Now AB = BC L C = L A 

...(i) .De 

[Angles opposite to equal sides of a triangle are equal.] 
Similarly, BC = AC L A = L B ...(ii) 
[Reason same as above] 

L A = L B = L C 

...(iii) [From (i) end (ii)] 

In A ABC, L A + L B + L C = 180° 
[Sum of angles of a triangle is 180°.] 
L A + L A + L A = 180° [From (iii)] 
3L A = 180° 
L A = 60° 
.. L A = L B = L C = 60°. 

						
one month ago
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