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Constructions

Short Answer Type

21. Construct an equilateral triangle of side 6.6 cm. Label its vertices as A, B and C. From point C draw a median CF.

Solution not provided.

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22. Construct a ∆ABC with ∠A = 75°, ∠B = 30° and AB = 5.6 cm. Measure ∠C.

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23. Construct a triangle of sides 3 cm, 3.5 cm and 5 cm. Bisect the smallest angle of the triangle.

[Hint: The angle opposite to the side 3 cm is the smallest angle.]

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24. Construct a triangle ABC in which BC = 7 cm, ∠B = 75° and AB + AC = 13 cm.

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25. Construct a triangle ABC in which BC = 8 cm, ∠B = 45° and AB – AC = 3.5 cm.

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26.

Construct a triangle PQR in which QR = 6cm, ∠Q = 60° and PR – PQ = 2cm.

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27.

Construct a triangle XYZ in which ∠Y = 30°, ∠Z = 90° and XY + YZ + ZX = 11 cm.

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28. Construct a right triangle whose base is 12 cm and sum of its hypotenuse and other side is 18 cm

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29. Construct a triangle ABC in which ∠B = 60°, ∠C = 45° and AB + BC + CA = 11 cm.

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30.

Construct a triangle ABC in which BC = 4.6 cm, ∠B = 45° and AB + AC = 8.2 cm.

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