Question

Which of the following step is not required to construct a $△ABC$, when AB = 7.6 cm, AC = 6 cm and CB = 4 cm.

• A. Draw a rough sketch of the triangle. Draw one of the sides, say AB = 7.6 cm.
• B. Using compass and taking A as centre, draw an arc of radius 6 cm.
• C. Construct an angle ${90}^{\circ }$ at A.
• D. With B as centre, draw an arc of radius 4 cm that cuts the first arc at point C. Join AC and BC.

Answer 1

The correct option is C Construct an angle ${90}^{\circ }$ at A.

Steps involved to construct a triangle, given all the three sides is as follows:

• Draw a rough sketch of the triangle.
• Draw one of the sides, say AB = 7.6cm.(We can start with any side, but usually the longest side is taken.)
• Using compass and taking A as centre, draw an arc of radius 6cm.
• With B as centre, draw an arc of radius 4cm that cuts the first arc at point C.
• Join AC and BC.