A right triangle has side lengths 4 units, 5 units, and x units what is the difference between the difference values of x?

Respuesta :

gmany

Use the Pythagorean theorem.

If x is a hypotenuse, then we have:

[tex]x^2=4^2+5^2\\\\x^2=16+25\\\\x^2=41\to x=\sqrt{41}[/tex]

If x is a leg, then we have:

[tex]x^2+4^2=5^2\\\\x^2+16=25\ \ \ \ |-16\\\\x^2=9\to x=\sqrt9\to x=3[/tex]

Answer: [tex]\sqrt{41}-3[/tex]

ACCESS MORE
ACCESS MORE
ACCESS MORE
ACCESS MORE