Construct a right-angled triangle whose hypotenuse is 6 cm long and one of the legs is 4 cm long.

A right-angled triangle ABC with hypotenuse 6 cm and one of the legs as 4 cm has to be constructed. A rough sketch of ΔABC is as follows.

The steps of construction are as follows.

(i) Draw a line segment BC of length 4 cm.

(ii) At point B, draw a ray BX making an angle of 90º with BC.

(iii) Taking C as centre, draw an arc of 6 cm radius to intersect ray BX at point A.

(iv) Join A to C to obtain the required ΔABC.