Question

In an equilateral triangle $\Delta ABC$ with sides $5$cm. Angle bisectors of $\angle A,\angle B,\angle C$ meet at point O. Measures of OA approximately is

• A. $2.5$
• B. $4$
• C. $3.2$
• D. $2.8$

Answer 1

Answer: (D)

$2.8$

Since the triangle given for construction is equilateral, the centroid, circumcentre and the incentre will be the same point.

We know that, the centroid divides the median in the ratio $2:1$ starting from the vertex.

Hence, $OA=\frac{2}{3}\times 4.33=2.8$