Answer:
The length of 2 wires are 13 feet and 12 feet [i don't know if the 3rd side is a wire, if so, the length is 5 feet]
Step-by-step explanation:
The image of the tent is attached.
As we can see, it creates a right triangle with "x+8" side being the hypotenuse of the triangle.
The pythagorean theorem tells us:
Hypotenuse^2 = Leg^2 + Leg^2
THe hypotenuse is "x+8", the two legs are "x" and "x+7" respectively. Let's solve for x:
[tex](x+8)^2=(x+7)^2+x^2[/tex]
We expand and solve for x:
[tex](x+8)^2=(x+7)^2+x^2\\x^2+16x+64=x^2+14x+49+x^2\\x^2+16x+64=2x^2+14x+49\\x^2-2x-15=0\\(x-5)(x+3)=0\\x=5,-3[/tex]
Length can't be negative, so x = 5.
Hence, the 3 sides of the triangle are:
x = 5
x + 8 = 13
x + 7 = 12
The length of 2 wires are 13 feet and 12 feet
