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In the right-angled triangle shown, a line is drawn from the right-angle corner to the slanting side, meeting it at right angles. From the foot of that line a second line is drawn straight across to the upright side. How many triangles are there?

Competition practiceCounting Figures
  • A3
  • B4
  • C6
  • D5

Step-by-Step Solution

The two lines cut the triangle into 3 small triangles. The top two small ones together form a triangle, and the whole figure is one more: .
Answer: D) 5

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