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3 years ago

What is the length of the missing side?

Mathematics

1 answer:

nika2105 [10]3 years ago

5 0

9514 1404 393

Answer:

Step-by-step explanation:

The Pythagorean theorem tells you the relationships of sides in a right triangle is ...

a² + b² = c² . . . . . . where 'a' and 'b' are the legs, and 'c' is the hypotenuse

6² +8² = c²

36 +64 = c² = 100

c = √100 = 10

The length of the hypotenuse is 10.

_____

<em>Additional comment</em>

The ratio of the leg lengths is 8/6 = 4/3. The only right triangle with legs in the ratio 4/3 has the relationship ...

hypotenuse : long leg : short leg = 5 : 4 : 3

If you multiply these numbers by 2, you see they correspond to the side lengths in this triangle. Your familiarity with a 3-4-5 right triangle can let you write down the answer immediately.

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Based on the exchange rate, at the end of the trade, Lewis will have 31 puppets and 2 puzzles left over while Geppeto will have 158 puzzles and 4 puppets left over.

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