Q11 of 805 Page 12

Construct a in which and the length of the perpendicular from the vertex A to the base BC is 4.8 cm.

Steps of Construction:


1. Draw a line segment AB.



2. Take any point C on AB and draw CD perpendicular to AB.



3. Along CD, set CE = 4.8 cm.



4. Through E, draw PQ parallel to AB.



5. Construct ∠ PEX = 30° and ∠ QEY = 60° meeting AB at X and Y respectively.



Therefore, Δ XEY is the required triangle.


More from this chapter

All 805 →
9

Construct an isosceles triangle whose base is 4.8 cm and whose vertical angle is 80°.

 10

Construct a right-angled triangle whose hypotenuse measures 5.3 cm and the length of one of whose sides containing the right angle measures 4.5 cm.

 12

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

 13

Construct a in which BC = 4.5 cm, and the sum of the other two sides is 8 cm.