Draw an equilateral triangle having each side of length 8.5cm. Also draw in-circle of a triangle.
(Only traces of construction are required)
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CONSTRUCTION:
- Draw a line AB of 8.5 cm using ruler.
- Using compass draw an arc of 8.5 cm by A as centre.
- Again by using compass draw an arc of 8.5 cm by B as centre.
- Join AC and BC.
- We will get an equilateral triangle.
- Using compass draw an arc of 1 cm by keeping A as centre.
- Without changing the measurements draw arcs by keeping D and E as centres.
- Join AH to X.
- Again by using compass draw an arc of 1 cm by keeping B as centre.
- Without changing the measurements draw arcs by keeping F and G as centres.
- Join BI to Y.
- X and Y are bisector of ∠A and ∠B and meet at O.
- By taking 4 cm draw arcs by keeping H and I as centre.
- Join OJ to Z.
- By taking O as centre and OL as radius draw a circle which meets all the three sides of the triangle.
- Hence we have drawn an incircle.
- Measure radius of incircle OL which is equal to 2.5 cm.
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