Question
Construct a right-angled isosceles triangle with one side (other than hypotenuse) of length $4.5\ cm.$

Answer


Steps of construction:
Step I Draw a line $AB = 4.5\ cm.$
Step II Construct a right angle $(90^\circ )$ at point $B,$ i.e. $\angle ABY = 90^\circ .$
Step III From point $B,$ cut an arc $4.5cm$ on $BY$ at $C.$​​​​​​​
Step IV Join $C$ to $A.$ Hence, $\triangle ABC$ is the required triangle having $AB - AC = 4.5\ cm.$

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