Question
Construct an isosceles triangle whose base is 8 cm and altitude 4 cm and then another
triangle whose sides are 
times the corres ponding sides of the isosceles triangle.
Solution
Step of Construction :
(i) Draw a line segment BC = 8 cm.
(ii) Draw a perpendicular bisector AD (4 cm) of BC.
(iii) Joining AB and AC we get isosceles ΔABC.
(iv) Construct an acute ∠CBX downwards.
(v) Along BX mark off 3 equal points B1, B2, B3 such that BB1 = B1B2 = B2B3.
(vi) Join C to B2 and draw a line through B3 parallel to B2C intersecting the extended line segment BC at C’.
(vii) Again draw a parallel line C’ A’ to AC cutting BP at A’.
(viii) ΔA ‘BC’ is the required triangle.
Justification :
C’A’ || CA [By construction] ΔABC ~ ΔA ‘BC’
[Using AA similarity condition]
