Question

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

Answer 1

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.