Using ruler and compasses only draw an equilateral triangle of side 5 cm and draw its inscribed circ...

Question

Using ruler and compasses only draw an equilateral triangle of side 5 cm and draw its inscribed circle Measure the radius of the circle

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 As a result with each angle measuring 60 degrees it is sometimes referred to as an equiangular triangle Steps to construct Step 1 Draw a line segment BC 5cm Step 2 With Center as B and radius 5cm with center as C and radius 5cm draw two arcs which intersect each other at point A Step 3 Join AB and AC Step 4 Draw the angle bisector of angles B and C which intersects each other at point I Step 5 From I draw a perpendicular ID on BC Step 6 With center as I and radius ID draw a circle which touches the sides of the triangle internally Step 7 On measuring the radius ID 15cm approx

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