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Ex 6.5, 17 - In ABC, AB = 6 root3 cm, AC = 12 cm, BC = 6 cm - Pythagoras Theoram - Finding value

  1. Chapter 6 Class 10 Triangles
  2. Serial order wise
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Ex 6.5, 17 Tick the correct answer and justify : In ΔABC, AB = 6 √3cm, AC = 12 cm and BC = 6 cm. The angle B is : (A) 120° (B) 60° (C) 90° (D) 45° Let us check whether it is a right angle triangle To prove any triangle to be the right triangle. We use Pythagoras theorem (Hypotenuse)2 = (Height )2 + (Base)2 Here, Hypotenuse is longest side i.e. AC = 12 cm Since L.H.S = R.H.S , Pythagoras theorem is satisfied Hence Δ ABC is a right angled triangle with Hypotenuse = AC = 12 cm So, Angle opposite to hypotenuse (AC) will be 90° Hence, ∠𝐵 = 90° So, C is the correct answer

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