Construct an isosceles triangle whose base is 8 cm and altitude

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 Multiple Choice QuestionsShort Answer Type

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73. Construct an isosceles triangle whose base is 8 cm and altitude 4 cm and then another

triangle whose sides are  1 begin inline style 1 half end style times the corres ponding sides of the isosceles triangle.


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.


Step of Construction :
(i)    Draw a line segment BC = 8 cm.(ii) ?

(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]


Step of Construction :
(i)    Draw a line segment BC = 8 cm.(ii) ?

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