Question

Pls answer

Use the Pythagorean Theorem, a2 + b2 = c2, to determine the distance from A(-5, 0) to B(1, 6).



Group of answer choices

5.28

6.33

7.21

8.49

Answer 1

`8.49\ units`

Explanation:

we know that

The Pythagorean Theorem states that in a right triangle

`c^2=a^2+b^2`

where

c is the greater side (the hypotenuse)

a and b are the legs

In this problem

Let

c=AB ---> distance from point A to point B

a ---> the difference of the x-coordinates both points

b ---> the difference of the y-coordinates both points

so

`a=1-(-5)=6\ units\\b=6-0=6\ units`

substitute

`AB^2=6^2+6^2`

`AB^2=72`

`AB=√(72)\ units`

`AB=8.49\ units`