Area of Triangles and Parallelograms (Leaving Cert Mathematics): Flashcards

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Area of Triangles and Parallelograms
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Area formula for triangle

12×base×height\frac{1}{2} \times \text{base} \times \text{height}

Angle of perpendicular height to base

90° (right angle)

Effect of changing base on triangle area

No effect - area remains the same

Definition of parallelogram

Quadrilateral with opposite sides parallel and equal

What diagonal creates in parallelogram

Two congruent triangles

Area formula for parallelogram

base×height\text{base} \times \text{height}

Why 12\frac{1}{2} in triangle but not parallelogram formula?

A parallelogram consists of 2 identical triangles

Perpendicular height in parallelogram

Shortest distance between parallel sides at 90°

Units for area

Squared units (cm², m², etc.)

Which sides can be base in triangle?

Any side can be the base

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