Can the sides of a triangle have lengths 39, 15, and 25?

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Answer 1 · 2016-01-23T19:42:22

No.

If we will apply the Pythagoras theorem, we know the hypotenuse is the greatest length in all three sides. Then,

#(hypotenuse)^2 = (base)^2 + (height)^2#

#h^2 = 15^2 + 25^2#

#h^2 = 225 + 625#

#h^2 = 850#

#h = sqrt(850)#

#h = 29.154#

#h cancel(= ) 39#

Hence, a triangle cannot have three sides of length 39, 15 and 25.