Respuesta :

Answer:

The length of the diagonal measures 54.2 meters

Step-by-step explanation:

Pythagorean theorem,

a² + b² = c²

a = 21

b = 50

c = diagonal

21² + 50² = c²

441 + 2500 = c²

2941 = c²

√2941 = c

54.23098... = c

54.2 = c

The length of the diagonal measures 54.2 meters.

We have given that,

A rectangular swimming pool is 21 meters

wide and 50 meters long.

We have to determine the length of the diagonal.

What is the Pythagorean theorem?

a² + b² = c²

a and b are sides of the triangle and c is the hypotenuse

a = 21,

b = 50

c = diagonal

21² + 50² = c²

441 + 2500 = c²

2941 = c²

Taking square root on both side

√2941 = c

54.23098 = c

54.2 = c

Therefore the length of the diagonal measures 54.2 meters.

To learn more about the Pythagorean theorem visit:

https://brainly.com/question/343682

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