Question

△ABC is an equilateral triangle. If AB=6 cm, then ABC= cm​

Answer 1

Answer:

18 cm is the answer

hope helps

Step-by-step explanation:

Answer 2

It is given that ABC is an equilateral triangle ,then AB =BC =AC =6cm and angle A = angle B =angle C 60° then according to question,PC =1/3BC

Therefore PC =2cm

Now , using the cosine formula in angle APC ,we have

cos angle C = AC² +PC² - AP²

2(AC) ( PC )

cos 60° = 6² + 2² - AP²

2(6) (2)

1/2 = 40 - AP ² ÷24

AP² = 40 - 12

AP = 28

AP = 2√7 cm

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