How do you determine if the lengths #sqrt65, 6sqrt2, sqrt97# form a right triangle?

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Answer 1 · 2017-02-03T15:01:24

#137 !=97#

This is not a right-angled triangle.

The theorem of Pythagoras only holds true in a right-angled triangle.

Test to see whether #color(red)(a^2 +b^2) = color(blue)(c^2)# is true.

#color(red)((sqrt65)^2 + (6sqrt2)^2)color(white)(..........)color(blue) ((sqrt97)^2)#

#color(red)(=65+36xx2)color(white)(................)color(blue) (=97)#

#color(red)(=65+72)#

#color(red)(=137)#