Question

Draw a right-angled triangle having hypotenuse = 6 cm and one of the sides containing the right angle having length 4.5 cm.

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Solution

Steps of construction: 1. Draw a line segment BC = 6 cm. 2. Find the mid point O of BC. 3. With O as the centre and a radius equal to OB, draw a semicircle on BC. 4. With B as the centre and a radius equal to 4.5 cm, draw an arc cutting the semicircle at A. 4. Join AB and AC. Thus, $∆$ABC is the required triangle.

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