If the square of the length of the longest side of a triangle is less than the sum of the squares of the lengths of the other two sides, then what type of triangle was formed?
a) right
b) acute
c) obtuse
d) scalene

In the 8th grade Math Curriculum, we all learned Pythagoras' famous rule: If the square of the length of the longest side of a triangle is equal to the sum of the squares of the lengths of the other two sides then the triangle that was formed is right-angled. So, it should follow that: If the square of the length of the longest side of a triangle is less than the sum of the squares of the length of the other two sides then an acute triangle is formed. And: If the square of the length of the longest side of a triangle is greater than the sum of the squares of the lengths of the other two sides then an obtuse triangle is formed. Hope this helps!