Answer: Option B: (√2)*11
Step-by-step explanation:
Here we have a triangle rectangle, where the hypotenuse is 22 units long, and the angles are 90°, 45° and 45°.
because the two angles different than 90° are equal, this means that both cathetus have the same lenght.
Now, by the relation:
Sin(a) = (opposite cathetus)/hypotenuse.
where a is an angle, and the opposite cathethus reffers to the cathetus that is not "touching" the angle a.
in this case we have:
sin(45°) = X/22
X = sin(45°)*22 = 22*(√2)/2 = (√2)*11
The lengt of both cathetus is (√2)*11 units.
