The Basics (Leaving Cert Mathematics): Flashcards

📚Flashcards
Properties of Triangles
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Angles in an equilateral triangle

All angles are 60°60°

Isosceles triangle property

Two equal sides; angles opposite these sides are equal

Scalene triangle

All sides and angles are different

Acute triangle

All angles less than 90°90°

Obtuse triangle

One angle greater than 90°90°

Hypotenuse in a right triangle

Side opposite the 90°90° angle

Sum of angles in a triangle

180°180°

Exterior angle of a triangle equals

Sum of two non-adjacent interior angles

Triangle inequality theorem

Sum of any two sides >> third side

Pythagoras' theorem

c2=a2+b2c^2 = a^2 + b^2 (c is hypotenuse)

Centroid of a triangle

Intersection of medians; divides them in 2:12:1 ratio

Orthocenter

Intersection of altitudes

Circumcenter

Intersection of perpendicular bisectors; center of circle through all vertices

Incenter

Intersection of angle bisectors; center of inscribed circle

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