Respuesta :

Answer:

30 ft

Step-by-step explanation:

Hi!

So according to the Pythagorean theorem, a^2 + b^2 = c^2

Ok, so let's just plug those numbers in:

18^2 + 24 ^ 2 = c^2

324 + 576 = c^2

900 = c^2

[tex]\sqrt{900}[/tex] = c

[tex]\sqrt{900}[/tex] = 30

x = 30

You could also use Pythagorean triples, and there are Pythagorean triples for this which is 3:4:5; and since it's a ratio, we can write it as 3x:4x:5x. Then, according to a and b, x would equal 6, so then we plug in x:

3(6):4(6):5(6)

and you get:

18:24:30

Let me know if you have any questions.