This blog is managed by Song Hock Chye, author of Improve Your Thinking Skills in Maths (P1-P3 series), which is published and distributed by EPH.

Thursday, February 04, 2010

Ai Tong Sch 2009 P6 CA1 Math Paper 2 Q4

In a right-angled triangle, the two sides which form the right angle are 16 cm by 12 cm respectively. How many such triangles are needed to form the smallest square?




Horizontal --> 4 x 12 cm = 48 cm
Vertical --> 3 x 16 cm = 48 cm
The above figure (not drawn to scale) is therefore a square.

The smallest 1 unit rectangle has 2 triangles.
There are 3 rows and 4 columns of the smallest 1 unit rectangle.

3 x 4 = 12 smallest unit of rectangles
2 triangles x 12 = 24 triangles

Answer: 24 triangles

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