How do you determine whether the given lengths are sides of a right triangle 23, 18, 14?

1 Answer
Jun 10, 2016

Answer:

#23#, #18# and #14# are not the sides of a right angled triangle.

Explanation:

If the triangle with sides #23#, #18# and #14# is a right angled triangle, #23# the largest side must be hypotenuse.

According to Pythagoras theorem, in a right angled triangle, the square of hypotenuse is equal to the sum of squares of other two sides. Let us check it.

#23^2=529# and #18^2+14^2=324+196=520#

Therefore #23^2>18^2+14^2#.

Hence, #23#, #18# and #14# are not the sides of a right angled triangle.

In fact as #23^2>18^2+14^2#, it is an obtuse angled triangle.