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Asked by admin @ 23/08/2021 in Math viewed by 340 People

Question 17 Tick the correct answer and justify: In ΔABC, AB = 6.3^0.5 cm, AC = 12 cm and BC = 6 cm. The angle B is: (A) 120° (B) 60° (C) 90° (D) 45°

Class 10 - Math - Triangles Page 151

Answered by admin @ 23/08/2021

Given :
AB = 6√3cm
AC= 12 cm
BC = 6 cm

In ∆ABC
Now, AB²+ BC²= AC²

(6√3)²+ 6² = 12²
36×3 + 36 = 144

108+36= 144

144= 144
The given ∆ ABC satisfies the Pythagoras theorem.

Hence , the ∆ is a right angled at B .
Angle B= 90°
____________________________

Hence , the correct option is C .
____________________________

Hope this will help you.....

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