What is the length of the hypotenuse of the triangle when x = 2?
The length of the hypotenuse is ____ unit(s).
(Type an integer or decimal rounded to the nearest tenth as needed.)
What is the length of the hypotenuse of the triangle when x = 2?
Share
To determine the length of the hypotenuse of a right triangle when ( x = 2 ), we typically need the lengths of the other two sides, which are often represented as ( x ) and some other length ( y ).
If we assume we’re dealing with an isosceles right triangle (where both legs are equal), then both legs would be ( 2 ) units. In this case, you can find the hypotenuse ( c ) using the Pythagorean theorem:
[
c = sqrt{x^2 + y^2}
]
For our isosceles triangle:
[
c = sqrt{2^2 + 2^2} = sqrt{4 + 4} = sqrt{8} = 2sqrt{2} approx 2.8
]
So, the length of the hypotenuse rounded to the nearest tenth is approximately 2.8 units.
If you have specific values for ( y ) or a different triangle, please provide that for a more accurate calculation!