Q14 of 45 Page 474

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.


More from this chapter

All 45 →
12

Construct a ΔPQR whose perimeter is 12 cm and the lengths of whose sides are in the ratio 3:2:4.

 13

Construct a ΔABC in which BC = 4.5 cm, ∠B = 60° and the sum of the other two sides is 8 cm.

 1

Which of the following angles can be constructed using ruler and compass only?

 2

Which of the following angles can be constructed using ruler and compass only?