Question

Is the answer B or C

Answer 1

We will calculate it like this, We will make a right angle triangle by adding one new point called O for example, and O is located right under the point C, and on the right side of point D, so the coordinated for this point are O (8, -2). From there, length CD is calculated using the Pythagorean theorem, because we know that the CO = 4 and DO = 4, so:

CD^2 = CO^2 + DO^2

CD^2 = 4^2 + 4^2

DC^2 = 16 + 16

DC^2 = 32

DC = square root of 32 = square root of 16 * square root of 2

DC = 4 * square root of 2

The correct answer is B. 4*square root of 2.