Hi- I'm on a mission--I'm suppose to have a group of children write up a hypotheses about the altitudes and angle biscetors of the follwing 3 types of triangle--equilateral, isosceles and acute scalene triangle.
Is there such a thing as a acute scalene triangle and why or why not.
Thanks KimHi Kim,
YES. An ACUTE triangle contains three acute angles. (In other words, each angle of an acute triangle is less than 90 degrees.) A SCALENE triangle is one in which all sides have different lengths (and therefore, all angles have different measures). But, I fail to understand your point: you can study altitudes and angle bisectors for ANY scalene triangle. (Theorem: In a scalene triangle the altitude is always shorter than the angle bisector.)Chris