if a eqilateral triangle with side 9 cm inscibed in a circle . find the radius of the circle
shadowsabers03:
3 ROOT 3
but how
as you know the median of the equilateral triangle will overlap with the radius of the circle so (2/3)*((sqrt3)/2)*9
understood
ha
thanks
what is the area of eqilateral triangle
ok
The length of each side of any equilateral triangle is root 3 times its circumradius.
The radius of the circle is the circumradius of the triangle here. To find it, divide the length of the side of the triangle, i. e., 9, by root 3. We get 3 root 3. Thanks.
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short trick to find radius of the circle is this formula
a/√3. where a is side of triangle
9/√3, now rationalise,
9/√3×√3/√3
3√3 cm is the radius of the circle.
a/√3. where a is side of triangle
9/√3, now rationalise,
9/√3×√3/√3
3√3 cm is the radius of the circle.
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