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3 years ago

What is the minimum number of degrees that an equilateral triangle can be rotated before it carries onto itself?

Mathematics

2 answers:

mash [69]3 years ago

7 0

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

kondaur [170]3 years ago

4 0

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°

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