Answer:
These are right triangles so we can use Pythagorean theorem to solve this.
the Pythagorean theorem states that the hypotenuse of a right triangle, squared, is equal to the sum of the other 2 sides of the triangle, squared.
It can be expressed as so:
c^2=a^2+b^2 where c is the hypotenuse and a, b are the other 2 sides.
Therefore in number 11 6^2=x^2+y^2
36=x^2+y^2
for A, 3√3 / 2 is 2.59807621135 and y is 3. If we square both then they should equal 36 although if they don't then this answer is incorrect.
By doing this process for each answer you will see that
In D we finally see that the square root of 3 is 1.73205080757 and that number times 3 is 5.19615242271. y is 3 and 5.19615242271 squared comes out to 27 and 3 squared comes out to 9
27+9 = 36. Therefore by using the Pythagorean theorem, we found that D is correct
Because this involves a lot of typing and its 5:37 Am where i live ima let u do the next one alone but if u need help just follow my demonstration
Step-by-step explanation: