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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.
Solution
Steps to construct
1. Draw a line segment BC of 8 cm
2. Take a mid point D of BC
3. At D, draw an angler of 90°
4.With centre D,Radius 4cm, draw an arc which intersect line of angle at A
5. Join AB and AC
6. At B, draw an angle CBX of any measure
7. Starting from B, cut there equal parts on BX such that BX1 = X1X2 = X2X3
8. Join X2C
9. Through X3, Draw X3Q || X2C
10. Through Q, Draw QP || CA
∴ ΔPBQ ∼ ΔABC
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