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42 votes
42 votes
What is AB? Round your answer to the nearest hundredth. Point A: (-5,-4) Point B: (-3,3)

User Bee Smears
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1 Answer

11 votes
11 votes

Explanation:

you mean the distance between A and B ?

the x and y coordinate differences create a right-angled triangle with the distance being the Hypotenuse (the side opposite of the 90° angle).

so, we use Pythagoras to solve this.

c² = a² + b²

c being the Hypotenuse, a and b are the legs.

distance² = (-5 - -3)² + (-4 - 3)² = (-5 + 3)² + (-4 - 3)² =

= (-2)² + (-7)² = 4 + 49 = 53

distance = sqrt(53) = 7.280109889... ≈ 7.28

User PSN
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