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Find the length of the third side. If necessary, round to the nearest tenth.

Find the length of the third side. If necessary, round to the nearest tenth.-example-1

1 Answer

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Answer:

6.3

Explanation:

You want the length of the unknown leg in a right triangle with hypotenuse 7 and leg 3.

Pythagorean theorem

The relation between legs 'a' and 'b' and hypotenuse 'c' is ...

a² +b² = c²

a² +3² = 7²

a² = 49 -9 = 40 . . . . . . subtract 3²

a = √40 ≈ 6.3

The length of the third side is about 6.3 units.

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