#### 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 BX_{1} = X_{1}X_{2} = X_{2}X_{3}

8. Join X_{2}C

9. Through X_{3}, Draw X3Q || X2C

10. Through Q, Draw QP || CA

∴ ΔPBQ ∼ ΔABC

Is there an error in this question or solution?

#### APPEARS IN

Solution 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. Concept: Division of a Line Segment.