Construct a

We have been given two sides and one angle of right angled triangle ABC.

Steps of construction for this case would be:

1. Draw a line segment sufficiently long using a ruler.

2. Locate points Q and R such that QR = 3 cm, on the previously drawn line segment using a ruler.

3. At R, construct a line segment RX, sufficiently large, such that ∠XRQ = 90° using a compass; use protractor to measure the angle 90°.

4. With Q as centre and radius 4 cm, draw a circle or a semicircle or an arc cutting the line segment RX at P.

5. Join QP.

Thus, PQR is the required triangle.