A rectangular lawn is 65 m long and 34 m wide. Over time, people have walked along a diagonal as a shortcut and have created a straight path. What is the length of the path, to the nearest tenth of a meter?

Respuesta :

65²+34²=n²
n²=5381
n=±73.36 m as the length of the path
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Answer:

73.4

Step-by-step explanation:

They are basically asking the length of the hypotenuse. We can use the Pythagorean Theorem to solve this problem. In right triangles, [tex]a^{2}+b^{2}=c^{2}[/tex] We already know a and b, so we just need to plug them in. [tex]65^{2} +34^{2} = c^{2}[/tex] Simplify further. [tex]4225+1156=c^{2}[/tex] Now add. [tex]5381 = c^{2}[/tex] Do the opposite and find the square root of 5381. Round your answer to the nearest tenth to get 73.4