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Mathematics 16 Online
OpenStudy (anonymous):

PLEASE HELP: If the length of each of the cube shown in figure 26 is 5 cm, find the length of diagonal GD. find the length of diagonal GB. : http://i47.tinypic.com/2zq7ms8.png

OpenStudy (anonymous):

gd=5root2 gb=5root3

OpenStudy (radar):

Do you see why?

OpenStudy (anonymous):

nop

OpenStudy (radar):

To calculate the diagonal GD, if you will look at your diagram you will see that GD is the hypotenuse of a right triangle formed by GCD. Can you visualize this?

OpenStudy (anonymous):

yes

OpenStudy (radar):

The legs are GC and CD and they are 5 cm in length.

OpenStudy (radar):

Using pythagorean's theorem \[GD=\sqrt{5^{2}+5^{2}}=\sqrt{50}=\sqrt{25}\sqrt{2}=5\sqrt{2}\]Did you follow those steps.

OpenStudy (anonymous):

kind of

OpenStudy (radar):

Do you see how GD was obtained?\[(GD)^{2}=(GC)^{2}+(CD)^{2}\]\[GD=\sqrt{(GC)^{2}+(CD)^{2}}\]CG=5 cm CD=5 cm

OpenStudy (radar):

Does that explain how the GD was calculated.

OpenStudy (radar):

If you can't grasp the method we solve for the diagonal GD,there is no need to try to solve diagonal GB.

OpenStudy (radar):

Take a few minutes to review all the posts above.

OpenStudy (radar):

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OpenStudy (radar):

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