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A cone shaped hat is shown:


A cone is shown with slant height 16 cm and radius 7.4 cm. The unknown height is labeled with a question mark, and the line joining the tip of the cone to the base is perpendicular to the base.


What is the approximate height of the hat?

Verified Answer :

sarenagaddy

a² + b² = c²
7.4² + b² = 16²
54.76 + b² = 256
256 - 54.76 = 201.24
b² = 201.24
√b = √201.24
b = 14.19 cm

The approximate height of the hat is 14.19 cm

The approximate height of the hat is 14.19 cm

What is the Pythagorean theorem?

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a fundamental 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 size of the square whose side is the hypotenuse.

Given

a² + b² = c²

7.4² + b² = 16²

54.76 + b² = 256

256 - 54.76 = 201.24

b² = 201.24

√b = √201.24

b = 14.19 cm

The approximate height of the hat is 14.19 cm

to learn more about the Pythagorean theorem refer to:

https://brainly.com/question/343682

#SPJ2

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