Q2 of 59 Page 67

Construct a right angle triangle PQR in which ∠R = 90°, PQ = 4 cm and QR – 3 cm.

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.


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