SME
Grade 10 Math
Relationships within triangles: bisectors, medians, midsegments and inequalities
The main lesson, then each kind of problem it solves.
Relationships within triangles: bisectors, medians, midsegments and inequalities
Main lesson
Medians and the centroid
Use this for “The median AD is 12. How long are AG and GD?”
The incircle of a right triangle
Use this for “A right triangle has legs 9 and 12. Find the radius of the circle inside it.”
The circle through the corners of a right triangle
Use this for “A right triangle has legs 5 and 12. Find the radius of the circle through its corners.”
The triangle inequality
Use this for “Two sides of a triangle are 7 and 11. What lengths can the third side be?”
Which center?
Use this for “Which point of a triangle is the same distance from all three sides?”
Which angle is largest?
Use this for “A triangle has sides 5, 7 and 9. Which angle is the largest? The smallest?”