Answer:
[tex]x=24[/tex]
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean Theorem.
The Pythagorean Theorem is:
[tex]a^2+b^2=c^2[/tex]
The hypotenuse is c, and the legs are a and b.
Plug in 26 for c since 26 is the hypotenuse, and let 10 for a and x be b. Therefore:
[tex]x^2+10^2=26^2[/tex]
Square:
[tex]x^2+100=676[/tex]
Subtract 100 from both sides:
[tex]x^2=576[/tex]
Take the square root of both sides:
[tex]\sqrt{x^2}=\sqrt{576}\\x=\sqrt{576}=24[/tex]
The answer is 24.
