A right triangle has a hypotenuse of 5 and one leg with length of 2. What is the length of the other leg?

3
3

21−−√square root of 21

29−−√square root of 29

7
7

none of these

Respuesta :

9514 1404 393

Answer:

  √21

Step-by-step explanation:

The Pythagorean theorem tells you ...

  a^2 +b^2 = c^2 . . . . . for legs a, b and hypotenuse c

  a^2 +2^2 = 5^2 . . . . . for leg 2 and hypotenuse 5

  a^2 = 25 -4 = 21 . . . . subtract 2^2

  a = √21

The other leg has length √21.