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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10

ST || QR, PS = 2 cm and SQ = 3 cm. Then the ratio of the area of ∆PQR to the area of ∆PST is - Mathematics

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Question

ST || QR, PS = 2 cm and SQ = 3 cm. Then the ratio of the area of ∆PQR to the area of ∆PST is

Options

  • 25 : 4

  • 25 : 7

  • 25 : 11

  • 25 : 13

MCQ

Solution

25 : 4

Explanation;

Hint:

Area of ∆PQR : Area of ∆PST

`("Area of"  Delta"PQR")/("Area of"  Delta"PST") = "PQ"^2/"PS"^2 = 5^2/2^2 = 25/4`

Area of ∆PQR : Area of ∆PST = 25 : 4

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Thales Theorem and Angle Bisector Theorem
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Chapter 4: Geometry - Exercise 4.5 [Page 199]

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Samacheer Kalvi Mathematics [English] Class 10 SSLC TN Board
Chapter 4 Geometry
Exercise 4.5 | Q 4 | Page 199
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