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3 March, 13:56

List the sides of ∆XYZ in order from shortest to longest if m∠X = 51, m∠Y = 59, and m∠Z = 70.

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Answers (2)
  1. 3 March, 14:00
    0
    YZ < ZX < XY

    Step-by-step explanation:

    In a triangle the side opposite to largest interior angle is largest, opposite to medium interior angle is medium and opposite to smallest interior angle is smallest.

    Given,

    In triangle XYZ,

    m∠X = 51°, m∠Y = 59°, and m∠Z = 70°,

    Since, 51° < 59° < 70°,

    ⇒ m∠X < m∠Y < m∠Z

    Also, sides YZ, ZX and XY are the opposite sides of the angles X, Y and Z respectively,

    Hence, by the above property,

    YZ < ZX < XY

    Which is the required order.
  2. 3 March, 14:15
    0
    The shortest side would be YZ.

    The next would be XZ.

    The longest side would be XY.
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