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Lady_Fox [76]
3 years ago
15

A triangle has a leg with a length of 3 and a hypotenuse with a length of 6.What is the length of the other leg?

Mathematics
1 answer:
taurus [48]3 years ago
3 0

Answer:

3\sqrt{3}

Step-by-step explanation:

Using Pythagoras' identity on the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x be the length of the other leg, then

x² + 3² = 6², that is

x² + 9 = 36 ( subtract 9 from both sides )

x² = 27 ( take the square root of both sides )

x = \sqrt{27} = \sqrt{9(3)} = \sqrt{9} × \sqrt{3} = 3\sqrt{3} ← exact value

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