Triangles (Grade 12 NSC Matric Mathematics): Quizzes

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Triangles
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What is the formula for the area of a triangle?

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

Triangles with equal heights have areas proportional to what?

Their bases

Triangles with equal bases between the same parallel lines are equal in what?

Area

Triangles on the same side of the same base with equal areas lie between what?

Parallel lines

A line parallel to one side of a triangle divides the other two sides in what way?

In the same proportion

In triangle ABC with DE || BC, which relationship is true?

ADDB=AEEC\frac{AD}{DB} = \frac{AE}{EC}

A line joining midpoints of two triangle sides is parallel to the third side and equals what?

Half the length of the third side

A line from the midpoint of one side parallel to another side does what to the third side?

Bisects it

Two triangles have equal heights. If their bases are in ratio 2:3, what is their area ratio?

2:32:3

In triangle with SR || QP, if TRRP=12\frac{TR}{RP} = \frac{1}{2}, what is TSSQ\frac{TS}{SQ}?

12\frac{1}{2}

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