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vampirchik [111]
4 years ago
14

The leg of a right triangle is 2 units and the hypotenus is 3 units. What is the length, in units, of the other leg?

Mathematics
1 answer:
stich3 [128]4 years ago
8 0

ANSWER

x =  \sqrt{5} units

EXPLANATION

Let the other leg be x units.

According to the Pythagoras Theorem, the sum of the squares of the two shorter legs should add up to the square of the hypotenuse.

This implies that,

{x}^{2}  +  {2}^{2}  =  {3}^{2}

{x}^{2}  + 4=9

Group the constant terms,

{x}^{2}=9 - 4

{x}^{2}=5

Take square root.

x =  \sqrt{5}

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