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Math Exercises: Geometric Construction Exercises

 

 

 

 

1. Construct a triangle ABC in which a = 4 cm, b = 5 cm, c = 6 cm.

 

2. Construct a triangle ABC in which c = 7.5 cm, α = 45°, β = 60°.

 

3. Construct a triangle ABC in which b = 6 cm, c = 4.5 cm, α = 72°.

 

4. Construct a triangle ABC in which a = 6.5 cm, c = 8 cm, α = 38°.

 

5. Construct a triangle ABC in which a = 4 cm, c = 6.5 cm, β = 60°.

 

6. Construct a triangle ABC in which a = 4.5 cm, c = 7 cm, γ = 90°.

 

7. Construct a triangle ABC in which c = 8 cm, hc = 4 cm, mc = 7 cm.

 

8. Construct a triangle ABC in which a = 6 cm, b = 8.5 cm, ha = 5 cm.

 

9. Construct an isosceles triangle ABC with base AB in which a = 5 cm, ha = 4 cm.

 

10. Construct a right-angled triangle ABC with hypotenuse AB, |AB| = c = 10 cm and height of the hypotenuse hc = 4 cm.

 

11. Construct a square ABCD with diagonal |AC| = e = 12 cm.

 

12. Construct a rhombus ABCD in which |AB| = a = 6 cm, |AC| = e = 7 cm.

 

13. Construct a convex quadrilateral ABCD in which a = 8 cm, b = 6 cm, c = 5 cm, |AC| = e = 7 cm, α = 60°.

 

14. Construct a trapezium ABCD with bases AB and CD in which a = 10 cm, b = 4.8 cm, c = 4.2 cm, β = 65°.

 

15. Construct a parallelogram ABCD in which a = 7.5 cm, b = 4 cm and the size of an angle |∠DAB| = 100°.

 

 

 

 

 

 

 

You might be also interested in:

- Perimeter and Area of Plane Figures

- Volume and Surface Area of Solids

- Triangles and Properties of a Triangle

- Trigonometry

 

 
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