CAIE IGCSE Mathematics Extended E6.2.3 Know That the Perpendicular Distance From a Point to a Line Is the Questions

Practise recognising that the perpendicular is the shortest distance from a point to a line, then calculate it using trigonometry or area relationships.

Exam points

Draw or identify the perpendicular from a point to a line as the required shortest distance.
Calculate a perpendicular height with a sine ratio, or equate two expressions for the same triangle area.
Derive a required side or angle before using the right triangle containing the shortest distance.
Locate the foot of a perpendicular and use cosine to calculate its position along the line when the question asks for that segment.

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