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13 votes
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

User Eslimaf
by
7.1k points

1 Answer

11 votes

9514 1404 393

Answer:

√21

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.

User JackKalish
by
6.8k points
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