The ratio of the hypotenuse to the leg is [tex]\rm \sqrt{2}[/tex].
What is the length of the hypotenuse?
The method below is known as the pythagorean theorem. Whereby, to find the hypotenuse of the triangle, you square (multiply a number by itself) the base (a²) and the height (b²) and then add them together to get the square of the hypotenuse (c²).
Then find the square root of ‘c²’ to get the length of the hypotenuse.
The length of each leg is 1 unit.
Base = 1, and Perpendicular = 1.
By using pythagoras theorem;
[tex]\rm Hypotenuse^2=Base^2+Perpendicular^2\\\\ Hypotenuse^2=1^2+1^2\\\\ Hypotenuse^2=1+1\\\\ Hypotenuse^2=2\\\\Hypotenuse=\sqrt{2}[/tex]
Hence, the ratio of the hypotenuse to the leg is [tex]\rm \sqrt{2}[/tex].
Learn more about hypotenuse here;
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