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Teorema de Pitágoras y valor numérico

Un triángulo rectángulo tiene una hipotenusa de longitud [tex]\sqrt{20}[/tex] cm y una de sus patas de longitud [tex]\sqrt{12}[/tex] cm. Calcula la longitud de la otra pata.

Sagot :

GinnyAnswer

Final answer:

The Pythagorean theorem helps find the missing side of a right triangle, given the lengths of other sides.


Explanation:

The Pythagorean theorem states that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the hypotenuse. This can be expressed as:

a2 + b2 = c2

Given a hypotenuse of length \[tex]\(\sqrt{20}\\)[/tex] cm and one leg of length \[tex]\(\sqrt{12}\\)[/tex] cm, we can calculate the length of the other leg using the Pythagorean theorem.

By substituting the values into the formula, we get: \[tex]\(\sqrt{12}^2 + b^2 = \sqrt{20}^2\\)[/tex]. Solving for b will give you the length of the missing leg.


Learn more about Pythagorean theorem here:

https://brainly.com/question/28361847


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