What is the minimum number of degrees that an equilateral triangle can be rotated before it carries onto itself?
since the triangle has equal sides it will carry onto it self at 120, since it can rotate 360 grades only and it has 3 sides so it will rotate in one third of 360 so 120
i hope i helped you
Answer:
Minimum umber of degrees that an equilateral triangle can be rotated before it carries onto itself = 120°
Step-by-step explanation:
Refer the figure given below.
We need to find angle ADC to get the same equilateral triangle after rotation.
∠ADC = 180 - ( ∠DAC + ∠DCA) = 180 - ∠DAC - ∠DCA
∠DAC = ∠DCA = 0.5 x 60 = 30°
Substituting
∠ADC = 180 - 30- 30 = 180 - 60 = 120°
Minimum umber of degrees that an equilateral triangle can be rotated before it carries onto itself = 120°