Q12 of 42 Page 210

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

Given, base of a triangle as 8cm and altitude as 4cm


Need to draw an isosceles triangle


Construction steps:



1) Draw a line segment BC = 8cm


2) Draw a perpendicular bisector AD of BC


3) Join AB and AC we get an isosceles triangle Δ ABC


4) Construct an acute angle ∠ CBX downwards.


5) On BX make three equal arts.


6) Join C to B2 and draw a line through B3 parallel to B2C intersecting the line extended line segment BC at C’


7) Again draw a parallel line C’A’ to AC cutting BP at A’


8) Δ A’BC’ is the required triangle.


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