Asked by lalamarmar
Use the Pythagorean Theorem to find the missing lengths.
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GPT 3.5
Given a right triangle with one leg measuring 5 units and the hypotenuse measuring 13 units, we can use the Pythagorean Theorem to find the length of the other leg.
The Pythagorean Theorem states that the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b).
Therefore, we can write the equation as:
a^2 + b^2 = c^2
5^2 + b^2 = 13^2
25 + b^2 = 169
b^2 = 144
b = √144
b = 12
Therefore, the missing length of the other leg is 12 units.
The Pythagorean Theorem states that the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b).
Therefore, we can write the equation as:
a^2 + b^2 = c^2
5^2 + b^2 = 13^2
25 + b^2 = 169
b^2 = 144
b = √144
b = 12
Therefore, the missing length of the other leg is 12 units.
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