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△PQR is right angled isosceles triangle, right angled at R. Find value of sin P.

PQR is right angled isosceles triangle. Find value of sin P

Question 16 (OR 1st question) - CBSE Class 10 Sample Paper for 2020 Boards - Maths Basic - Part 2

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Question 16 (OR 1st question) △PQR is right angled isosceles triangle, right angled at R. Find value of sin P. Given Δ PQR, right angled at R Also, Δ PQR is isosceles ∴ PR = RQ (Since hypotenuse is the longest side, it cannot be equal to any other side) And, we know that Angle opposite to equal sides of the triangle are equal ∴ ∠ P = ∠ Q Now, in Δ PQR Sum of angles = 180° ∠ P + ∠ Q + ∠ R = 180° ∠ P + ∠ P + ∠ R = 180° 2∠ P + 90° = 180° 2∠ P = 180° – 90° 2∠ P = 90° ∠ P = (90°)/2 ∠ P = 45° Now, sin P = sin 45° = 𝟏/√𝟐

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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.