Question

Three sides of a triangle are a,3a , root 3a find the measurement of angle opposite to the largest side.

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Answer 1

hey mate; little change in the question(sides are a,3a,root2a)

let side AB be a,BC be root2a,AC be 3a

by pytharoras theorem

(AC)^2=(AB)^2+(BC)^2

(3a)^2=(a)^2+(√2a)^2

3a^2=a^2+2a^2

3a^2=3a^2

hence angle =90

because pythagoras theorem is only used in right angle triangle