Posted by Rayna on Saturday, August 21, 2010 at 5:57am.
1. When the triangle is isosceles, the three points are collinear, i.e. a straight line passes through the three points.
In the case of an equilateral triangle, all three points coincide at the centroid of the triangle.
See also:
http://en.wikipedia.org/wiki/Euler_line
2. Use Pythagoras theorem, which states that the square of the hypothenuse (the longest side) of a right-triangle is equal to the sum of the squares of the remaining sides.
For example,
3²+4²
=9+16
=25
5²
=25
Therefore the triangle 3,4,5 is a right-triangle.
Thank you for the help. When you gave the example of question 2 is that I need to put for explaining my answer?
Yes, explanations similar to the example would suffice.
However, you need to check in a similar way each of the triplets given in the question.
You will notice that there is one of the four triplets is not Pythagorean.
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