Question

What is the length of each leg of the triangle below

Answer 1

option B is the correct answer. The given triangle is right angled triangle with angle 45,45 and 90.so the sides are in the ratio 1: 1: √2
`\\` Therefore the legs = 22÷√2=11√2

Answer 2

Answer: Option B: (√2)*11

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.