To construct a right triangle ABC right angled at C when its hypotenuse is AC and one side is BC is given, we follow the following steps :

Construct a right triangle PQR in which ∠Q = 90

Step 1: Draw QR = 4 cm.

Step 2 : Using compass, at Q draw ∠RQK = 90

Step 3 : Cut off RP = 6 cm.

Step 4 : Join P and R.

Now we get the required ΔPQR.

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1) If the sides of triangle are 3cm,4cm and 5cm then what type of triangle you will get after constructing it?

2) Construct a right angled triangle ABC where AB = 4.5 cm, AC = 5.8 cm and angle A = 90

3) In a triangle PQR, if ∠P=90

• Basic Geometric Constructions

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• Construction of Triangle (SSS)

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• Constructing Quadrilaterals

• Constructing Triangles(when sum of sides or perimeter is given)

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