Draw an equilateral triangle of side 4 cm Draw its circumcircle...

Question

Draw an equilateral triangle of side 4 cm Draw its circumcircle

Accepted Answer

Solution An equilateral triangle is one with equally long sides on both sides The three angles opposite the three equal sides are equal in size because the three sides are equal It is also known as an equiangular triangle since each angle is 60 degrees Steps to construct Step 1 Draw a line segment BC 4cm Step 2 With centers B and C draw two arcs of radius 4cm which intersects each other at point A Step 3 Join AB and AC Step 4 Draw the right bisector of BC and AC intersecting each other at point O Step 5 Join OA OB and OC Step 6 With center as O and radius equal to OB or OC or OA draw a circle which passes through points A B and C Hence the required circumcircle of triangle ABC is given below

ML Aggarwal Solutions Class 10 Mathematics Solutions for Constructions Exercise 16.2 in Chapter 16 - Constructions