Question

AABC is a right triangle. AB=____

Answer 1

8.06

Explanation:

Well the formula for this is
`a^(2)` +
`b^(2)` =
`c^(2)`

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:

`4^(2)` = 16

`7^(2)` = 49

Now you add these together to find
`c^(2)`:

16 + 49 = 65

So
`c^(2)` is 65, and to find c you need to square root that:

`√(65)` = 8.0622577...

So its approximately 8, and more accurately 8.06

Answer 2

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!! :)