Respuesta :

Answer:

n=55

Step-by-step explanation:

Assuming this is a right triangle since we are to use the Pythagorean theorem

a^2+b^2 = c^2

48^2 + n^2 = 73^2

2304 +n^2 =5329

Subtract 2304 from each side

2304-2304 +n^2 = 5329-2304

n^2 =3025

Take the square root of each side

sqrt(n^2) = sqrt(3025)

n =55

Answer:

N=55

Step-by-step explanation:

1. The equation for the Pythagorean theorem is [tex]a^2+b^2=c^2[/tex] . C refers to the hypotenuse (the longest side of the triangle, or the slanted part to make it easier). a and b are the legs (the side lengths)

2. plug the numbers in. It would be [tex]a^2+48^2=73^2[/tex]

3. This would then turn into [tex]a^2+2304=5329[/tex]

4. Subtract the 2304 on both sides. This should then get you [tex]a^2 = 3025[/tex]

5. Take the square root of both x^2 and 3025

6. You then get that a=55. (a would be N)