In triangle ABC, AB=6 root 3 cm, AC = 12 cm and angle BC = 6 cm . find the measure of angle B
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Ex 6.5, 17 Tick the correct answer and justify : In ABC, 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 ...
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Answer:
We have,
In ΔABC,
AB=6
3
cm.
AC=12cm.
BC=6cm
Suppose that It is a right angle triangle
Then, We use Pythagoras theorem
(Hypotenuse)
2
=(Height)
2
+(Base)
2
AC
2
=AB
2
+BC
2
12
2
=(6
3
)
2
+6
2
144=108+36
144=144
Hence, It is a right angle triangle.
Then, the angle B is 90
0
Hence, this is the answer.
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