If in an equilateral triangle ABC side AB = 12 cm, what is the area?

univerkov | January 16, 2021 | education

If the triangle is equilateral, then the height drawn to the base is the bisector and the median. Let’s draw the height, it breaks the base into 2 equal 6cm segments.
Find the height: h = √ 12 ^ 2 – 6 ^ 2 = √ 144 -36 = √ 108 = 6√ 3.
S = 1/2 a h.
S = 1/2 * 12 * 6√ 3 = 36√ 3cm2.
Answer: 36√ 3cm2

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