MediumMathematicsHigh School (9–10)GeneralCoordinate Geometry › Distance, Midpoint and Section FormulaeNumerical
Say what kind of triangle has the corners A(2, 1), B(6, 4) and C(-1, 5).
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
Say what kind of triangle has the corners , and .
Need a reminder? The key ideaShow
Compare the squares of the sides to name a triangle: equal sides make it isosceles, and gives a right angle. Area , which is for collinear points.
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. The squares. , , .
Step 2. Equal sides. units: isosceles.
Step 3. A right angle. , so the angle at is a right angle.
Answer: an isosceles right-angled triangle, with the right angle at .
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