Math Exercises: Geometric Construction Exercises 
Construct a triangle ABC in which a = 4 cm, b = 5 cm, c = 6 cm.
Construct a triangle ABC in which c = 7.5 cm, α = 45°, β = 60°.
Construct a triangle ABC in which b = 6 cm, c = 4.5 cm, α = 72°.
Construct a triangle ABC in which a = 6.5 cm, c = 8 cm, α = 38°.
Construct a triangle ABC in which a = 4 cm, c = 6.5 cm, β = 60°.
Construct a triangle ABC in which a = 4.5 cm, c = 7 cm, γ = 90°.
Construct a triangle ABC in which c = 8 cm, h_{c} = 4 cm, m_{c} = 7 cm.
Construct a triangle ABC in which a = 6 cm, b = 8.5 cm, h_{a} = 5 cm.
Construct an isosceles triangle ABC with base AB in which a = 5 cm, h_{a} = 4 cm.
Construct a rightangled triangle ABC with hypotenuse AB, AB = c = 10 cm and height of the hypotenuse h_{c} = 4 cm.
Construct a square ABCD with diagonal AC = e = 12 cm.
Construct a rhombus ABCD in which AB = a = 6 cm, AC = e = 7 cm.
Construct a convex quadrilateral ABCD in which a = 8 cm, b = 6 cm, c = 5 cm, AC = e = 7 cm, α = 60°.
Construct a trapezium ABCD with bases AB and CD in which a = 10 cm, b = 4.8 cm, c = 4.2 cm, β = 65°.
Construct a parallelogram ABCD in which a = 7.5 cm, b = 4 cm and the size of an angle ∠DAB = 100°.
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