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Grade 10 Math · Problem type
Which center?
Use this for “Which point of a triangle is the same distance from all three sides?”
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Which center is it?
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Assumptions
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Each center is where three special lines of the triangle meet.
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Medians give the centroid, angle bisectors the incenter, perpendicular bisectors the circumcenter, altitudes the orthocenter.
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Related lessons
Relationships within triangles: bisectors, medians, midsegments and inequalities
Main lesson
Medians and the centroid
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The incircle of a right triangle
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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 angle is largest?
Use this for “A triangle has sides 5, 7 and 9. Which angle is the largest? The smallest?”