Respuesta :

x is the hypotenuse (as it is opposite the right angle). Follow the a² + b² = c² formula.


let a = 10

let b = 24

let c = x


Plug into the equation:


(10)² + (24)² = x²


Simplify


10² = 100

24² = 576


100 + 576 = x²


x² = 676


Isolate the x. Root both sides


√x² = √676

x = √676

x = 26


x = 26 is your answer


hope this helps

gmany

Use the Pythagorean theorem:



[tex]x^2=10^2+24^2\\\\x^2=100+576\\\\x^2=676\to x=\sqrt{676}\\\\\boxed{x=26}[/tex]


Answer: x = 26.