PLEASE ANSWER ASAP IF YOU KNOW THIS..... To the nearest hundredth, what is the length of line segment AB ?

Drag your answer into the box.
The length of line segment AB is approximately ______ units.

choices: 2.83, 1.41, 4.00, 5.83, AND 7.21

PLEASE ANSWER ASAP IF YOU KNOW THIS To the nearest hundredth what is the length of line segment AB Drag your answer into the box The length of line segment AB i class=

Respuesta :

Imagine a right triangle being made from this line, with segment AB as the hypotenuse. The missing point of the triangle would be on (-4,-5) Lets name the point C

Okay, so since we have a right triangle, we can solve for the length of AB using the pythagorean theorem.

a²+b²=c²    where a and b are side lengths and c is the hypotenuse

The distance from A to C is 5units
The distance from B to C is 3 units

Plug in the data that we know

5²+3²=c²
25+9=c²
34=c²
√34=c
5.830=c
round to the nearest hundredth
5.83=c

Answer=5.83 units

The answer will be 5.83 because if you drag your mouse or your finger over the line you will count that the line crosses over 5 and a little bit units.
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