Q3 of 805 Page 13

Construct a ΔABC in which BC = 6.5 cm, AB = 4.5 cm and ∠ABC = 60°. Construct a triangle similar to this triangle whose sides are of the corresponding sides of ∠ABC.


Steps of Construction:


1. Draw a line segment BC = 6.5 cm.



2. Construct ∠ YBC = 60°.



3. Mark an arc from B of length 4.5 cm which cuts YB at A.



4. Join AC.



5. Δ ABC is the required triangle.


6. Draw a ray BX on the side opposite to the vertex A.



7. Along BX, mark 4 points B1, B2, B3 and B4.



8. Join B4C.



9. Draw B3C’ parallel to B4C such that C’ lies on BC.



10. Draw A’C’ parallel to AC such that A’ lies on AB.



Δ A’BC’ is the triangle whose sides are times the corresponding sides of Δ ABC.


More from this chapter

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1

Draw a line segment AB of length 5.4 cm. Divide it into six equal parts. Write the steps of construction.

 2

Draw a line segment AB of length 6.5 cm and divide it in the ratio 4 : 7. Measure each of the two parts.

 4

Construct a ΔABC in which BC = 5 cm, ∠C = 60° and altitude from A equal to 3 cm. Construct a ΔADE similar to ΔABC such that each side of Δ ADE is times the corresponding side of ΔABC. Write the steps of construction.

 5

Construct an isosceles triangle whose base is 9 cm and altitude 5 cm. Construct another triangle whose sides are of the corresponding sides of the first isosceles triangle.