Answer:
According to the problem, think of a triangle with:
leg 1 [tex](a)[/tex] = 28
leg 2 [tex](b)[/tex] = 21
Hypotenuse [tex](c)[/tex] = 5x
-So, to find the missing hypotenuse, you need to use the "Pythagorean Theorem" in order to solve and get the hypotenuse:
[tex]a^2+b^2=c^2[/tex]
[tex]28^2 + 21^2 = (5x)^2[/tex]
Then, start solving:
[tex]28^2 + 21^2 = (5x)^2[/tex]
[tex]781 + 441 = 25x ^2[/tex]
[tex]1225 = 25x^2[/tex]
[tex]25x^2 = 1225[/tex]
[tex]\frac{25x^2}{25} =\frac{1225}{25}[/tex]
[tex]x^2 = 49[/tex]
[tex]\sqrt{x^2} = \sqrt{49}[/tex]
[tex]x =7[/tex]
-Since, the hypotenuse has length of 5x meters, this could mean:
[tex]5x = 5\times 7= 35[/tex]
So, the answer is [tex]x = 7[/tex]
