Question

What is the value of Ab and ach anytime I put them in the calculator using the formula it always says error I need some help solving this

Answer 1

Answer: Segment BC

Step-by-step explanation

Let's use the distance formula for points A and B.

`A = (x_1,y_1) = (-8,-5) \text{ and } B = (x_2, y_2) = (0,-3)\\\\d = √((x_1 - x_2)^2 + (y_1 - y_2)^2)\\\\d = √((-8-0)^2 + (-5-(-3))^2)\\\\d = √(68)\\\\d \approx 8.2462\\\\`

Segment AB is roughly 8.2462 units long.

Now let's find the distance from B to C.

`B = (x_1,y_1) = (0,-3) \text{ and } C = (x_2, y_2) = (4,3)\\\\d = √((x_1 - x_2)^2 + (y_1 - y_2)^2)\\\\d = √((0-4)^2 + (-3-3)^2)\\\\d = √(52)\\\\d \approx 7.2111\\\\`

Segment BC is approximately 7.2111 units long.

Therefore, segment BC is the shorter segment.