Respuesta :
The length of the other leg is 12 inches.
What is the Pythagorean theorem?
The Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
The hypotenuse of a right triangle is the side opposite the right angle, and the legs of a right triangle are the two sides that are adjacent to the right angle.
If we know the length of the hypotenuse and one leg of a right triangle, we can use the Pythagorean theorem to find the length of the other leg.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.
We can use this theorem to write the equation:
c² = a² + b²
where c is the length of the hypotenuse, and a and b are the lengths of the legs.
In this problem, the hypotenuse is 13 inches and one of the legs is 5 inches. We can substitute these values into the equation to find the length of the other leg:
c² = a² + b²
(13)² = a² + (5)²
169 = a²+ 25
144 = a^2
a = 12
Hence, the length of the other leg is 12 inches.
To learn more about the Pythagorean theorem visit,
https://brainly.com/question/231802
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