Answered

IDNLearn.com: Your one-stop platform for getting reliable answers to any question. Get step-by-step guidance for all your technical questions from our knowledgeable community members.

A park is in the shape of a rectangle 8 miles long and 6 miles wide. How much shorter is your walk if you walk diagonally across the park than along two sides of it?

Sagot :

Ausar318idn

this would be a right triangle with the legs being 8 miles and 6 miles. using the Pythagorean theorem, the hypotenuse would be 10 miles long. therefore, he would be walking a total of four miles less if he walked diagonally.
IGreenidn
8 + 6 = 14

Find the hypotenuse of the triangle.

a^2 + b^2 = c^2

Where 'a' and 'b' are the two legs and 'c' is the hypotenuse.

Plug in what we know:

6^2 + 8^2 = c^2

Simplify the exponents:

36 + 64 = c^2

Add:

100 = c^2

Find the square root of both sides:

c = 10

14 - 10 = 4

So walking diagonally across will be 4 miles shorter than walking around the edges.
We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. IDNLearn.com has the solutions you’re looking for. Thanks for visiting, and see you next time for more reliable information.