There are two buildings beside each other that are 47 feet and 31 feet high. The buildings are 12 feet apart. What is the distance between the rooftops of the buildings?.

Respuesta :

By using the Pythagorean theorem, we know that the distance between the rooftops of the two buildings is 20ft.

What is the Pythagorean theorem?

The Pythagorean theorem, also known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry.

According to this statement, the areas of the squares on the other two sides add up to the area of the square whose side is the hypotenuse.

So, draw a figure of the 2 buildings as follows:

(Refer to the  image attached below)

Now, we know that we can get the distance between the rooftops using the Pythagorean theorem.

Pythagorean theorem: c² = a² + b²

Now, insert the values and calculate as follows:

c² = a² + b²

c² = 12² + 16²

c² = 144 + 256

c² = 400

c = √400

c = 20ft

Therefore, by using the Pythagorean theorem, we know that the distance between the rooftops of the two buildings is 20ft.

Know more about the Pythagorean theorem here:

https://brainly.com/question/343682

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