Answer:
Exact answer: [tex] \sqrt{29} [/tex]
Approximate answer: [tex] 5.385 [/tex]
Step-by-step explanation:
Start at the bottom vertex.
Go up 5 units, then go left 2 units. Now you're at the left vertex.
The vertical segment 5 units long and the horizontal segment 2 units long are the legs of a right triangle. The left side of the square is the hypotenuse of that right triangle.
We now use the Pythagorean theorem to find the length of the hypotenuse.
[tex] c^2 = a^2 + b^2 [/tex]
[tex] c^2 = 5^2 + 2^2 [/tex]
[tex] c^2 = 25 + 4 [/tex]
[tex] c^2 = 29 [/tex]
[tex] c = \sqrt{29} [/tex]
[tex] c \approx 5.385 [/tex]
