Triangles (Grade 12 NSC Matric Mathematics): Flashcards

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Triangles
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Formula for area of triangle

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

Triangles with equal heights: area ratio

Proportional to their bases

Equal bases + between parallel lines

Equal in area

Equal areas + same base

Lie between parallel lines

Proportion theorem statement

Line || to side divides other sides in same proportion

Proportion theorem: ADDB=?\frac{AD}{DB} = ? (DE || BC)

AEEC\frac{AE}{EC}

Mid-point theorem: direction

Parallel to third side

Mid-point theorem: length

Half the third side

Converse mid-point theorem

Line from midpoint || to side bisects third side

Equal heights: Area 1Area 2=?\frac{\text{Area 1}}{\text{Area 2}} = ?

base 1base 2\frac{\text{base 1}}{\text{base 2}}

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