Question

In triangle ABC, AB = 5.7 cm, BC= 6.2 cm and CA = 4.8 cm. Name the largest and the smallest angles.

Answer 1

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largest == 6.2 cm

smallest ==4.8 cm


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Answer 2

Solution :

Given : In triangle ABC,
AB = 5.7 cm,
BC= 6.2 cm,
and CA = 4.8 cm.

Theory we will use : Angle opposite to the largest side is the larger angle. Angle opposite to the smallest side is the smaller angle.

Given sides are 5.7, 6.2, 4.8 respectively.

4.8 cm < 5.7cm < 6.2 cm.

CA < AB < BC.

Angle opposite to CA is B.

Angle opposite to AB is C

Angle opposite to BC is A.

So, As BC is the longest side, The largest angle is A.

As CA is the smallest side, The smaller angle is B.

Conclusion : Therefore, Angle A is the largest angle and Angle B is the smallest angle