Answer:
Option (2)
Step-by-step explanation:
By applying Sine ratio in the given triangle.
Sin(45)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
Sin(45)° = [tex]\frac{a}{4\sqrt{2}}[/tex]
[tex]\frac{1}{\sqrt{2}}=\frac{a}{4\sqrt{2}}[/tex]
a = 4
Now we find the cosine ratio in the given triangle,
Cos(45)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
[tex]\frac{1}{\sqrt{2}}=\frac{b}{4\sqrt{2}}[/tex]
b = 4
Therefore, measure of the legs are,
a = 4
b = 4
Option (2) will be the answer.
