Question

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

Answer 1

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

Answer 2

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!