Respuesta :

Answer:

See the answer below.

Step-by-step explanation:

The Pythagoras theorem for a right triangle is

c^2 = a^2 + b^2     where c = hypotenuse and a, b are the legs of the triangle.

3  positive integers which fit this formula  are called Pythagorean Triples.

3,4 5 are a triple because 5^2 = 3^2 + 4^2 ( 25 = 9 + 16).

and also  17^2 = 15^2 + 8^2  ( 289 = 225 + 64).

Step-by-step explanation:

Pythagorean theorem is [tex]a^{2} + b^{2} =c^{2}[/tex] (c being the largest number)

Pythagorean triples are 3 positive numbers that make this equation true.

let's start with 3,4,5

3²+4²=5²

9+16=25

25=25

Since it's true, it's a triple.

Now 8,15,17

8²+15²=17²

64+225=289

289=289

This is also true, so it's also a triple

Hope this helps!

ACCESS MORE
EDU ACCESS
Universidad de Mexico