Do the following sets of sides of a triangle satisfy the Pythagorean Theorem: 20,21,29?
yes- see explanation
# color(blue) " Pythagoras' theorem " " states " #
'the square on the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides'
The Converse of this statement is that if the square on the longest side of a triangle is equal to the sum of the squares on the other 2 sides then the triangle is right.
square on longest side
# = 29^2 = 841#
sum of squares on other 2 sides
# = 20^2 + 21^2 = 841 #
This means that the triangle is right , with hypotenuse of 29.
Also the set 20,21,29 satisfy the Pythagorean Theorem