Solution:-
triangle 1:-
= Cos 60° = Base/Hypotenuse
= Cos 60° = 6/x
= 1/2 = 6/x
= 1×x = 6 × 2
= x = 12
From Pythagoras theorem:-
x² = y² + 6²
12² = y² + 6²
144 = y² + 36
y² + 36 = 144
y² = 144 - 36
y² = 108
y = √108
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triangle 2:-
= Cos 60° = Base/Hypotenuse
= Cos 60° = x/12
= 1/2 = x/12
= 12×1 = 2x
= x = 12/2
= x= 6
From Pythagoras theorem:-
12² = y² + x²
12² = y² + 6²
144 = y² + 36
y² + 36 = 144
y² = 144 - 36
y² = 108
y = √108
