Q14 of 20 Page 11

Draw a right-angled triangle in which sides (other than hypotenuse) are of lengths 5cm and 12cm. Then construct another triangle whose sides are times the corresponding sides of the first triangle.

Steps of Construction:


1. Draw a triangle ABC such that AB = 12cm, ∠B = 90˚ and BC = 5cm.



2. Construct an acute angle BAX. Mark 4 points X1, X2, X3 and X4 on AX such that AX1 = X1X2 = X2X3 = X3X4.



3. Join X4 and B.



4. Draw X3B’ || X4B and B’C’ || BC



AB’C’ is the required triangle.


More from this chapter

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Construct a triangle with sides 4cm, 5cm, and 8cm and then another triangle whose sides are of the corresponding sides of the first triangle.

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Draw a circle of radius 2 cm. Take two points P and Q on one of its extended diameters each at a distance of 4 cm from its centre. Draw tangents to the circle form the two points P and Q.

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Draw a pair of tangents inclined to each other at an angle of 60° to a circle of radius 3 cm.

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Draw a triangle ABC with side BC = 7 cm, ∠B = 45°, ∠A = 105°. Then, construct a triangle whose sides are times the corresponding sides of ∆ABC.