Question

Draw a right triangle whose hypotenuse is 10 cm and one of the legs is 8 cm. Locate its incentre and also draw the incircle

Answer 1

Steps for construction:

Step 1: Draw the ΔABC with AB = 8 cm, BC = 10 cm and ∠A = 90°.

Step 2: Construct the angle bisectors of any two angles (∠B and ∠C) and let them meet at I. Then I is the incentre of ΔABC.

Step 3: Draw perpendicular from I to any one of the side to meet AB at D.

Step 4: With I as centre and ID as radius draw the circle. This circle touches all the sides of the triangle internally.

Step 5: Measure of In-radius = 1.8 cm.