Question

Pepe is putting a fence in his backyard to enclose the garden in form of a triangle. The garden already has sides enclosed with 8 feet and 5 feet of fence, respectively. What can you say about the length of the third side?

Answer 1

We know that we can use the pythagorean theorem to find the length of the third side of the triangle. The equation for this theorem is represented by:


`a^(2)` +
`b^(2)` =
`c^(2)`

Let a = 8.
Let b = 5.

We must find c to determine the length of the third side of the triangle. To find c, we can substitute the values that we are already know, and solve for c:


`8^(2)` +
`5^(2)` =
`c^(2)`

64 + 25 =
`c^(2)`

89 =
`c^(2)`


`√(89)` = c

9.43 = c

This means that the length of the third side of the fence in the garden is 9.43 feet.

Answer 2

Explanation:

Pepe is putting a fence in his backyard to enclose the garden in the form of a triangle.

In the garden already has sides enclosed with 8 feet and 5 feet.

We know a triangle is possible when sum of length of two sides > third side

so third side < 8 + 5

or third side should be less than 13.