Congruent triangles and similar containers

Congruent triangles and similar containers

Secondary 2
4 marks
TGM Original Questions
  1. Containers \(A\) and \(B\) are similar, with heights \(24\) cm and \(36\) cm; container \(B\) has base diameter \(15\) cm.
    1. Find the base diameter of \(A\).[2]
    2. Container \(C\) has height \(16\) cm and base radius \(4\) cm. Is it similar to \(B\)? Justify.[2]

Solution:

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Answer:(i) \(10\text{ cm}\) (ii) No; the height ratio \(\dfrac49\) differs from the diameter ratio \(\dfrac8{15}\).

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