Q7 of 805 Page 13

Construct a Δ ABC in which BC = 8 cm, ∠B = 45° and ∠C = 60°. Construct another triangle similar to ΔABC such that its sides are of the corresponding sides of ΔABC.


Steps of Construction:


1. Draw a line segment BC = 8 cm.



2. From B, draw ∠ YBC = 45°.



3. From C, draw ∠ C = 60° such that it intersects BY at A.



4. Δ ABC is the required triangle.


5. Below B, draw an acute angle ∠ CBX.



6. Take 5 points C1, C2,…, C5 on BX such that BC1 = C1C2 = … = C4C5



7. Join CC5.



8. Draw a line parallel to CC5 from C3 such that it intersects BC at C’. Join C3C’.



9. Draw a line parallel to AC from C’ such that it intersects AB at B’. Join B’C’.



Δ B’BC’ is the required triangle.


More from this chapter

All 805 →
5

Construct a ΔABC with BC = 7 cm, ∠B = 60° and AB = 6 cm. Construct another triangle whose sides are times the corresponding sides of ΔABC.

 6

Construct a Δ ABC in which AB = 6 cm, ∠ A = 30° and ∠ B = 60°. Construct another ΔAB' C' similar to ΔABC with base AB' = 8 cm.

 8

To construct a triangle similar to ΔABC in which BC = 4.5 cm, ∠B = 45° and ∠C = 60°, using a scale factor of BC will be divided in the ratio

A. 3 : 4 B. 4:7


C. 3 : 10 D. 3 : 7


 9

Construct an isosceles triangle whose base is 8 cm and altitude 4 cm and then another triangle whose sides are times the corresponding sides of the isosceles triangle.