Respuesta :

remember Pythagorean theorem

if we have a right triangle with legs a and b and hytponuse c then

[tex]a^2+b^2=c^2[/tex]


we are given a right triangle with legs x and y and hypotohuse 10

so therfor

[tex]x^2+y^2=10^2[/tex]

[tex]x^2+y^2=100

solve for x

minus y² from both sides

[tex]x^2=100-y^2[/tex]

sqare root both sides

[tex]x=\sqrt{100-y^2}[/tex]

the answer is the 4th option

Answer:

The correct answer would be x=√100-y².

Step-by-step explanation:

You can use the Pythagorean Theorem to find the answer. That is how I found my answer.