# Constructions

#### Question 7:

Draw a right triangle in which the sides (other than hypotenuse) are of lengths 4 cm and 3 cm. the construct another triangle whose sides are times the corresponding sides of the given triangle. Give the justification of the construction.

#### Answer:

It is given that sides other than hypotenuse are of lengths 4 cm and 3 cm. Clearly, these will be perpendicular to each other.

The required triangle can be drawn as follows.

**Step 1**

Draw a line segment AB = 4 cm. Draw a ray SA making 90° with it.

**Step 2**

Draw an arc of 3 cm radius while taking A as its centre to intersect SA at C. Join BC. ΔABC is the required triangle.

**Step 3 **

Draw a ray AX making an acute angle with AB, oppo...

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