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

Question 8 Constructions Exercise 16.2

Construct a triangle ABC with BC = 6.4 cm, CA = 5.8 cm and ∠ ABC = 60°. Draw its incircle. Measure and record the radius of the incircle.


Incircle is the circle that a triangle can fit inside of. Likewise known as a "inscribed circle."  It is the biggest circle that will fit and  touch the triangle's sides.

Steps to construct:

Step 1: Draw a line segment BC = 6.4cm.

Step 2: Construct an angle of 60o at point B.

Step 3: With C as center and radius CA = 5.8cm, draw an arc cutting BD at A.

Step 4: Join AC.

Step 5: Draw the angle bisector of angle B and angle C which intersect each other at point O.

Step 6: Draw OE perpendicular to BC, intersecting BC at point E.

Step 7: With O as the center and OE as the radius draw the required incircle.

Step 8: On measuring the radius OE = 1.5cm.

M L Aggarwal - Understanding ICSE Mathematics - Class 10 chapter Constructions Question 8 Solution image

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