What is the side of an equilateral triangle if the length of the radius of the circle circumscribed
September 8, 2021 | education
| What is the side of an equilateral triangle if the length of the radius of the circle circumscribed about the triangle is 4√3cm?
A circle is considered circumscribed about a triangle if it has three common points with it coinciding with the vertices of the triangle.
An equilateral triangle is a triangle in which all sides (as well as all angles) are equal to each other.
The side of an inscribed equilateral triangle is determined by the formula:
a = R × 2√3
Substitute the values:
a = 4 × √3 × 2 × √3; (we write in this form for ease of understanding)
a = 4 × 2 × 3; (if the same numbers are under the signs of the root, then when they are added, the same number is obtained)
a = 24cm
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