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  1. In a triangle the length of the side opposite the angle which measures 45° is 8 cm, what is the length of the side opposite to the angle which measures 90°?
    1. 8√2 cm.
    2. 4√2 cm.
    3. 8√3 cm.
    4. 4√3 cm..
Correct Option: A

On the basis of question we draw a figure of triangle ABC ,

According to the question,
AB = 8 cm.
∠ABC = 90°

∴ sin 45° =
AB
AC

1
=
8
2AC

⇒ AC = 8√2 cm.



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