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slega [8]
3 years ago
13

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 shown by

the dotted line what will be the lenth of the new path

Mathematics
2 answers:
vazorg [7]3 years ago
7 0
Use the Pythagorean Theorem.

The length of the path is d, and it is the hypotenuse of the right triangle.

50^2 + 120^2 = d^2

2500 + 14400 = d^2

d^2 = 16900

d = 130

Answer: 130 m
mrs_skeptik [129]3 years ago
7 0
Hello!

You use the Pythagorean theorem to solve this

a^{2} + b^{2} = c^{2}

a and b are the legs
c is the hypotenuse which is the side across from the right angle

put in the values you know

50^{2} + 120^{2} =c^{2}

square the numbers

2500 + 14400 =  c^{2}

add

16900 =  c^{2}

Take the square root of the number

130 = c

The answer is 130m

Hope this helps!
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