Question

AABC is a right triangle. AB=____

Answer 1

Answer:

8.06

Step-by-step 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:

$\sqrt{65}$ = 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!! :)