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.
1 answer:
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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