# Constructions

#### Question 2:

Construct a triangle of sides 4 cm, 5cm and 6cm and then a triangle similar to it whose sides areof the corresponding sides of the first triangle.

Give the justification of the construction.

#### Answer:

**Step 1**

Draw a line segment AB = 4 cm. Taking point A as centre, draw an arc of 5 cm radius. Similarly, taking point B as its centre, draw an arc of 6 cm radius. These arcs will intersect each other at point C. Now, AC = 5 cm and BC = 6 cm and ΔABC is the required triangle.

**Step 2**

Draw a ray AX making an acute angle with line AB on the opposite side of vertex C.

**Step 3**

Locate 3 points A_{1},
A_{2}, A_{3} (as 3 …

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