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

1 Answer
Jan 23, 2016

No.

Explanation:

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.