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<p>
Guided Practice: Finding the number of triangles in a polygon (Triangulation)
<br />
<br />
(Diagram)
<br />
<br />
<br />
This figure has 8sides, it is an octaagon.
<br />
When we start are vertex and we draw diagonal to form triangles, the number of triangles =n-2*n stands of number of sides.
<br />
<br />
Number of triangles=
<br />
n-2=8-2=6 triangles
<br />
<br />
<span style="font-weight: bold;">
Knowledge:
</span>
Number of triangles is less than number of sides by 2.
<br />
<br />
<span style="font-weight: bold;">
N
<sup>
o
</sup>
of triangles=n-2
</span>
<br />
<br />
</p>
<ul>
<li>
Find the number of right triangles
</li>
</ul>
<p>
a) Heptagon (7sides)
<br />
<br />
N
<sup>
o
</sup>
of right angles=
<br />
2n-4=2*7-4=14-4=10
<br />
<br />
b) Duodecagone(12sides)
<br />
<br />
Number of right angles=
<br />
2n-4=2*12-4=24-4=20
<br />
<br />
<span style="font-weight: bold;">
Knowledge:
</span>
The number of right angles is two times the number of triangles minus four (2n-4).
<br />
<br />
</p>
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