Find the length of the hypotenuse. 45 degree triangle 3 square root of 2

1 answer:

stira [4]2 years ago

8 0

Answer:

Hypotenuse = 6

Step-by-step explanation:

Find attached diagram used in solving the question.

The triangle is a 45°-45°-90° triangle meaning it's two legs are equal. The opposite = adjacent

Since we are told to find hypotenuse, it means the length given = opposite = adjacent = 3√2

Hypotenuse ² = opposite ² + adjacent ²

Hypotenuse ² = (3√2)² + (3√2)²

Hypotenuse ² = 9(2)+9(2) = 18+18

Hypotenuse ² = 36

Hypotenuse = √36

Hypotenuse = 6

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