Question

Given that AB = 5 cm and BC = 3 cm, which of the following information is required to construct $△ABC$?

• A. AC = 4 cm
• B. $\angle ACB$ = ${60}^{\circ }$
• C. AD = 3 cm
• D. None of the above

Answer 1

The correct option is A AC = 4 cm

A triangle can be constructed if we know all the three sides.

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 = 5 cm.(We can start with any side, but usually the longest side is taken.)
• Using compass and taking A as centre, draw an arc of the circle of radius 4 cm.
• With B as centre, draw an arc of the circle of radius 3 cm that cuts the first arc of the circle at point C.
• Join AC and BC.