Respuesta :

Answer: 116.6m

Step-by-step explanation:

This is the application of Pythagoras theorem , which states that :

the square of the hypotenuse = sum of the squares of other sides of the right angle triangle.

From the question :

Hypotenuse = short cut , let it be x

Applying the formula , we have :

[tex]x^{2} = 100^{2}+60^{2}[/tex]

[tex]x^{2} = 10000 + 3600[/tex]

[tex]x^{2} = 13600[/tex]

[tex]x = \sqrt{13600}[/tex]

[tex]x= 116.6190379[/tex]

[tex]x = 116.6[/tex]

Therefore : the shortcut = 116.6m