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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°?
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- 8√2 cm.
- 4√2 cm.
- 8√3 cm.
- 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° = | ||
AC |
⇒ | = | ||
√2 | AC |
⇒ AC = 8√2 cm.