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

Question 7 Constructions Exercise 16.2

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



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 = 1.5cm (approx).

M L Aggarwal - Understanding ICSE Mathematics - Class 10 chapter Constructions Question 7 Solution image

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