Question

Question 5(Multiple Choice Worth 1 points)

Answer 1

Answer: Second option.

Step-by-step explanation:

As you can observe in the picture given in the exercise, there are two Right triangles formed inside the rectangle: CDA and ABC.

You need to use the Pythagorean Theorem to solve this exercise. This is:

$a^2=b^2+c^2$

Where "a" is the hypotenuse and "b" and "c" are the legs of the Right triangle.

If you solve for one of the legs, you get the following equation:

$a^2-c^2=b^2\\\\b=\sqrt{a^2-c^2}$

In this case, you can identify in the figure that:

$a=AC=65\ m\\\\b=BC=x\\\\c=AB=63\ m$

Finally, you must substitute these known values into the equation $b=\sqrt{a^2-c^2}$ and then evaluate in order to find the value of "x". You get that this is:

$x=\sqrt{(65\ m)^2-(63\ m)^2}\\\\x=16\ m$