The Diagram Shows a section of the zoo where two paths meet at a right angle. There are plans to construct a new path as shows by the dotted line. What will be the length of the new path?

The section of the zoo is a right triangle. The new path is in front of the right angle, therefore it is the hypotenuse. To find the lenght of the hypotenuse we use the Pythagorean theorem:

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

In this case we are trying to find c, the hypotenuse, so it is equal to:

[tex] {c}^{2} = \: {50}^{2} + {120}^{2} \\ {c}^{2} = 2500 + 14400 \\ {c}^{2} = 16900 \\ c = \sqrt{16900} = 130 [/tex]

shubhamchouhanvrVT shubhamchouhanvrVT · Answer 2 · 2022-05-31T10:31:47+02:00

The length of the new path will be equal to 130 m.

What is the Pythagorean theorem?

It states that in the right angle triangle the hypotenuse square is equal to the sum of the square of the other two sides.

The section of the zoo is a right triangle. The new path is in front of the right angle, therefore it is the hypotenuse. To find the length of the hypotenuse we use the Pythagorean theorem:

H² = P² + B²

H² = 120² + 50²

H² = 16900

H = √16900

H = 130

Therefore the length of the new path will be equal to 130 m.

To know more about the Pythagorean theorem follow

https://brainly.com/question/343682

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