diablo3012 diablo3012
  • 17-11-2017
  • Mathematics
contestada

Triangles XYZ and PQR are drawn on a square grid. What fraction of the area of triangle XYZ is the area of trianglePQR?

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nobillionaireNobley
nobillionaireNobley nobillionaireNobley
  • 28-11-2017
The area of a triangle is given by [tex] \frac{1}{2} bh[/tex].

From the given figure: The base of the bigger triangle is 6 units and the height is 3 units.
The base of the smaller triangle is 3 units and the height is 2 units.

The area of the big triangle is [tex] \frac{1}{2} \times6\times3=9\, square\, units[/tex]
The area of the small triangle is [tex] \frac{1}{2} \times3\times2=3\, square\, units[/tex]

The required fraction is [tex] \frac{3}{9} = \frac{1}{3} [/tex]
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