Construct a ΔABC in which BC = 5.2 cm, ∠B = 30° and the difference of the other two sides is 3.5 cm.

Steps of Construction


1. Draw BC = 5.2 cm


2. Construct ∠CBX = 30°



3. Along BX set off BP = 3.5 cm


4. Join PC


Capture.PNG


5. Draw the perpendicular bisector of PC meeting BP produced at A.


6. Join AC


Capture.PNG


Therefore, ΔABC is the required triangle.


14