Answer:
x=19
Step-by-step explanation:
First, you place the numbers in place of the variables in their relative positions using the pythagorean theorem:
[tex]15^{2} +x^{2}=24^{2}[/tex]
Then you square the numbers that you currently have:
[tex]225+x^{2}=576[/tex]
Then subtract 225 from both sides to isolate the x:
[tex]x^{2} =576-225[/tex]
This gives you the equation:
[tex]x^{2} =351[/tex]
Then take the square root of both sides which gives you:
[tex]x=18.7349939952[/tex]
Then round to the nearest whole number which gives you x=19
