lee143
contestada

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?

Respuesta :

MrsWilliams18
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: 

[tex] a^{2} [/tex] + [tex] b^{2} [/tex] = [tex] c^{2} [/tex]

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: 

[tex] 8^{2} [/tex] + [tex] 5^{2} [/tex] = [tex] c^{2} [/tex]

64 + 25 = [tex] c^{2} [/tex]

89 = [tex] c^{2} [/tex]

[tex] \sqrt{89} [/tex] = c

9.43 = c

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

Answer:

Step-by-step 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.

Otras preguntas