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Question -

Construct an isosceles triangle whose base is 8 cm and altitude 4 cm and then another triangle whose sides are 3/2 times the corresponding sides of the isosceles triangle.



Answer -

Steps of construction :
(i) Draw a line segment BC = 8 cm and draw its perpendicular bisector DX and cut off DA = 4 cm.
(ii) Join AB and AC. Then ABC is the triangle.
(iii) Draw a ray DY making an acute angle with OA and cut off 3 equal parts making DD1 = D1D2 =D2D3 = D3D4
(iv) Join D2
(v) Draw D3AтАЩ parallel to D2A and AтАЩBтАЩ parallel to AB meeting BC at CтАЩ and BтАЩ respectively.
Then ╬ФBтАЩAтАЩCтАЩ is the required triangle.

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