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Given AB = 3 cm and BC = 4 cm, and ABC = 90^.

Mathematics

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Here are the solutions to questions 4, 5, and 6:

4. a) i. Find $|CD|$

  1. Find the length of ACAC using the Pythagorean theorem in △ABC\triangle ABC.

    Given AB=3AB = 3 cm and BC=4BC = 4 cm, and ∠ABC=90∘\angle ABC = 90^\circ.

    AC2=AB2+BC2AC^2 = AB^2 + BC^2 AC2=32+42AC^2 = 3^2 + 4^2 AC2=9+16AC^2 = 9 + 16 AC2=25AC^2 = 25 AC=25AC = \sqrt{25} AC=5 cmAC = 5 \text{ cm}

  2. Find the length of $CD

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