Question

Find the length of diagonal XU in the hexagon below. Round your solution to 2 decimal points

Answer 1

Answer:

The length of diagonal XU is 6.40 units

Step-by-step explanation:

* Lets explain how to find the distance between two points

- The rule of the distance between two points $(x_{1},y_{1})$

 and $(x_{2},y_{2})$ is:

 $d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

* Lets solve the problem

-From the attached figure:

- The coordinates of the vertex X are (2 , 2)

- The coordinates of the vertex U are (-2 , 7)

∴ The point $(x_{1},y_{1})$ = (2 , 2)

∴ The point $(x_{2},y_{2})$ = (-2 , 7)

∴ $x_{1}=2,x_{2}=-2$

∴  $y_{1}=2,y_{2}=7$

∵ $d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

∴ $d=\sqrt{(-2-2)^{2}+(7-2)^{2}}=\sqrt{(-4)^{2}+(5)^{2}}=\sqrt{16+25}=\sqrt{41}$

∵ $\sqrt{41}=6.403124$

∴ d = 6.40

* The length of diagonal XU is 6.40 units