Question

if a triangle has sides 12,16,and 20 which lengths is the length of the hypotenuse

Answer 1

[AI-generated answer — Bot GPT 3.5]

The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

In this case, the lengths of the two sides are 12 and 16. So, using the Pythagorean theorem:
c^2 = a^2 + b^2,
where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

Plugging in the values, we get:
c^2 = 12^2 + 16^2,
c^2 = 144 + 256,
c^2 = 400.

So, the length of the hypotenuse, c, is the square root of 400, which is 20.

Therefore, the length of the hypotenuse of the triangle with sides of 12, 16, and 20 is 20.