Q6 of 805 Page 13

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.


We have



Steps of Construction:


1. Draw a line segment AB = 6 cm.



2. Make an acute angle ∠ YAB = 30°.



3. From B, take an angle of 60° to intersect AY at C.



4. Below AB, make an acute angle ∠ BAX.



5. Along AX, mark 4 points B1, B2, B3, B4 such that AB1 = B1B2 = B2B3 = B3B4.



6. Join BB3.



7. Extend AB and draw a line parallel to BB3 from B4 to intersect extended AB at B’. Join B4B’.



8. Draw a line parallel to BC from B’ to intersect AC at C’.



Δ AB’C’ is the required triangle.


More from this chapter

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4

Construct a triangle with sides 5 cm, 6 cm and 7 cm and then another triangle whose sides are of the corresponding sides of the first triangle.

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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.

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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.

 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