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17 votes
Pythagorean Theorem to find the missing the leg, if the hypotenuse is 12 inches and the other leg is 7 inches

User TGnat
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1 Answer

5 votes
5 votes

Answer:

Adjacent = 9.75 inches.

Explanation:

Given the following data;

Hypothenus = 12 inches

Opposite = 7 inches

To find the other leg i.e adjacent, we would use Pythagorean' theorem given by the formula;

Hypothenus² = opposite² + adjacent²

Substituting into the formula, we have;

12² = 7² + adjacent²

144 = 49 + adjacent²

Adjacent² = 144 - 49

Adjacent² = 95

Taking the square root of both sides, we have;

Adjacent = 9.75 inches.

Therefore, the other leg is 9.75 inches.

User Cfulton
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3.2k points