The length of the hypotenuse of a right triangle is 50 inches. Determine the length of the legs if each leg is the same length.

Mathematics

1 answer:

algol133 years ago

4 0

Answer:

25√2 ≈ 35.36 inches

Step-by-step explanation:

The Pythagorean theorem can be used to find the leg length for the given conditions. It tells you the relation between legs a, b, and hypotenuse c is ...

c² = a² +b²

If a=b, and c=50, this becomes ...

50² = a² +a²

1250 = a² . . . . divide by 2

25√2 = a . . . . take the square root

The length of each leg is 25√2 ≈ 35.36 inches.

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