Ex 6.5, 6 - Angles Q and R of PQR are 25 and 65. Write which is true

Ex 6.5, 6 - Chapter 6 Class 7 Triangle and its Properties - Part 2

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Ex 6.5, 6 Angles Q and R of a ∆PQR are 25° and 65º. Write which of the following is true: (i) PQ2 + QR2 = RP2 (ii) PQ2 + RP2 = QR2 (iii) RP2 + QR2 = PQ2 In ∆PQR, ∠Q = 25°, ∠R = 65°, ∠P = ? By Angle Sum Property, ∠P + ∠Q + ∠R = 180° ∠P + 25° + 65° = 180° ∠P + 95° = 180° ∠P = 180° − 90° ∠P = 90° ∴ ∆PQR is a right angled triangle. By Pythagoras Theorem, i.e. 〖𝑃𝑄〗^2 = 〖𝑅𝑃〗^2 + 〖𝑄𝑅〗^2 Hence (ii) is true

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.