Respuesta :
Since ABC is a right triangle, we can use Pythagorean Theorem to solve for side AB.
Pythagorean Theorem: a^2 + b^2 = c^2
4^2 + 7^2 = c^2
16 + 49 = c^2
65 = c^2
c = 8.06
Hope this helps!! :)
Answer:
8.06
Step-by-step explanation:
Well the formula for this is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
The sides given are called the opposite and the adjacent, which, in this formula correspond to a and b. What you are trying to find is called the hypotenuse, and in this formula, c.
First you need to square a and b, like in the formula:
[tex]4^{2}[/tex] = 16
[tex]7^{2}[/tex] = 49
Now you add these together to find [tex]c^{2}[/tex]:
16 + 49 = 65
So [tex]c^{2}[/tex] is 65, and to find c you need to square root that:
[tex]\sqrt{65}[/tex] = 8.0622577...
So its approximately 8, and more accurately 8.06