Question

The three sides of a triangle are a, root3a, root2a. Find the measure of the angle opposite to the largest side.

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Answer 1

Answer:

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Answer 2

Answer: 90°

Step-by-step explanation:

Given a=a ,b=√3a c=2a

Here 2a> √3a> a .

By cosine rule we have

CosC=a²+b²-c²/2ab

CosC=a²+(√3a)²-(2a)²/2(a)(√3a)

= a²+3a²-4a²/2√3a²

=0

CosC= 0

Cos90°= CosC .

The angle opposite to the longest side is the longest angle.

Here Pythagoras theorem is valid ,so it is a right angled triangle.