Question

*10= ZOPQ
Construct an isosceles triangle whose base is 7.5 cm and altitude 3.5 cm then another triangle whose sides are
corresponding sides of the isosceles triangle.
times the

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Answer 1

Steps of construction :

1. Draw a line BC =  7.5 cm.

2. Draw a perpendicular bisector of BC which intersects the line BC at O.

3. Cut the line OA = 3.5 cm.

4. Join A to B and, A to C.

5. Draw a ray BX making an acute angle with BC.

6. Locate 7 points at equal distance among B1,B2,............, B7 on line segment BX.

7. Join B7C. Draw a parallel line through B4 to B7C intersecting line segment BC at C'.

8. Through C' draw a line parallel to AC intersecting line segment AB at A'.

9. Hence, ΔA'BC' is a required triangle.