Angle and perimeter ratios in similar triangles

Angle and perimeter ratios in similar triangles

Secondary 2
TGM Original Questions

The angles of \(\triangle ABC\) are \(4x^\circ,5x^\circ,6x^\circ\), and its longest side \(BC=10\) cm.

  1. Find \(x\).
  2. Find the largest angle.
  3. A triangle \(PQR\) is similar to \(ABC\).
    1. State its smallest angle.
    2. If its longest side is \(4\) cm, find perimeter \(ABC\) : perimeter \(PQR\).

Solution:

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Answer:(a) \(12\); (b) \(72^\circ\); (c)(i) \(48^\circ\); (ii) \(5:2\).

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