NumericalEasy1 mark
6(iii)
In the given diagram ∆ADB and ∆ACB are two right angled triangles with ∠ADB = ∠BCA = 90°. If AB = 10 cm, AD = 6 cm, BC = 2.4 cm and DP = 4.5 cm
Hence, find the length of PA
Topic: Similarity / scale factor
Previous-year question practice database
Answer
Exam answer
In △APD, By pythagoras theorem, => AP² = AD² + DP² => AP² = 6² + (4.5)² => AP² = 36 + 20.25 => AP² = 56.25 => AP = √56.25 = 7.5 cm Hence, length of AP = 7.5 cm.
Explanation
Use similarity to equate the relevant corresponding-side ratios; for area questions, square the corresponding-side ratio.
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