One of the legs of a right triangle measures 1 cm and its hypotenuse measures 20 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Respuesta :

Answer:

[tex]\sqrt{399}[/tex] or 19.97 but if you round to nearest tenth it is 20

Step-by-step explanation:

using the Pythagorean theorem of [tex]a^{2} +b^{2} =c^{2}[/tex]

substitute the values of 1 for a, leave b since we do not know it, and 20 for c.

So we have

[tex]1^{2}+b^{2}=20^{2}\\1+b^{2}=400\\[/tex]

Solve for b,

[tex]b^{2}=399\\b=\sqrt{399}[/tex]

Answer:

20

Step-by-step explanation:

a^2+b^2=c^2

1^2+b^2=20^2

1+b^2=400

-1 -1

b^2=399

then take the square root of both and get 19.97498436

and after that, u round to the nearest 10th and get 20

hope this helps