An equilateral triangle is inscribed with a circle with a radius of 4 cm. Find the side of the triangle.
| July 28, 2021 | education
Given: ▲ ABC – equilateral. OD is the radius of the inscribed circle. OD = 4 cm.
Find: AB.
Solution.
▲ ABC – equilateral. OD is the radius of the inscribed circle. The radius of the inscribed circle is calculated by the formula:
r = a / (2√3). Therefore, a = 2√3 * r.
a = 2√3 * OD.
a = 2√3 * 4.
a = 8√3.
Answer: a = 8√3.
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