Un triángulo rectángulo puede ser descrito mediante el teorema de Pitágoras, para el caso de tres lados representando tres números enteros consecutivos, tenemos que:

$(n+2)^{2} = n^{2} + (n+1)^{2}$ (1)

Donde $n$ es un número natural.

A continuación, expandimos la expresión y resolvemos:

$n^{2}+4\cdot n +4 = n^{2} + n^{2} +2\cdot n + 1$

$n^{2}-2\cdot n -3 = 0$

$(n -3) \cdot (n+1) = 0$

La única solución factible es $n = 3$ . En consecuencia, los lados del triángulo rectángulo miden 3, 4 y 5, respectivamente.

4 0

3 years ago

Alpha bought 4 pies, which he plans to share with a group of his friends. If there is exactly enough to give each member of the

Gnesinka [82]

There are 24 people, there are 4 pies and they each get 1/6th, 4x6=26

The entire race was 8 hours. If 3/4th of the race was 6 hours, 6/3=2 meaning 1/4th of the race is 2 hours and the full thing being 8.

6 0

2 years ago