Construct a triangle ABC with BC 64 cm CA 58 cm and ABC 60 Draw its incircle Measure and record the ...

Question

Construct a triangle ABC with BC 64 cm CA 58 cm and ABC 60 Draw its incircle Measure and record the radius of the incircle

Accepted Answer

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

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