#2**0 **

We can begin by drawing a diagram of triangle XYZ with legs XY = 12 and YZ = 6. Let's label the right angle as angle Z, and the hypotenuse as XZ.

Next, let's draw a line segment from point D perpendicular to leg XY, and call the point of intersection E. We can see that triangle XYD is now divided into two smaller triangles, XYE and EYD.MyBalanceNow

Since we know the lengths of legs XY and YZ, we can use the Pythagorean theorem to find the length of hypotenuse XZ. XZ^2 = XY^2 + YZ^2, so XZ^2 = 12^2 + 6^2 = 144 + 36 = 180.

Duque3476Apr 13, 2023