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The Circumference of a circle is 264 cm, if a triangle PQR is inscribe in the circle having two sides are 21 cm and 12 cm and the area of triangle is 21 cm2. Then find the third side of the triangle .1. 28 cm2. 22 cm3. 24 cm4. 14 cm |
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Answer» Correct Answer - Option 4 : 14 cm Given The perimeter of a circle is 264 cm Two sides of triangle = 21 cm and 12 cm Area of triangle = 21 cm2 Concept Circumradius (R) = (S1 × S2 × S3)/(4 × Δ ) Where, S1 , S2 and S3 are sides of triangle Δ = Area of triangle Perimeter of circle = 2πR Calculation Perimeter = 2 × (22/7) × R ⇒ 264 = 2 × (22/7) × R ⇒ 6 × 7 = R ⇒ 42 = R Now, ⇒ 42 = (21 × 12 × S3)/(4 × 21) ⇒ S3 = 14 cm. ∴ The third side of the triangle is 14 cm |
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