can 12,16,20 make a right triangle
the answer is yes btw
To determine whether the lengths of the sides 12, 16, and 20 can form a right triangle, one way to check is by using the Pythagorean theorem. According to the theorem, for a right triangle, the sum of the squares of the two shorter sides will be equal to the square of the hypotenuse.
To apply this theorem, start by checking if the sum of the squares of the two shorter sides (12 and 16) is equal to the square of the longest side (20):
12^2 + 16^2 = 144 + 256 = 400
20^2 = 400
Since both values are equal, we can conclude that these side lengths can indeed form a right triangle.
If it is a right-angled triangle, the largest side would have to be the hypotenuse, so
check if 12^2 + 16^2 = 20^2
or, reduce the numbers by a common factor of 4
that is:
does 12,16,20 form a right-angled triangle ----> does 3,4,5 form a right-angled triangle
(which you should be able to check mentally)