find the distance between -8,-3 and -2, -5 using Pythagorean theorem
To find the distance between two points (-8, -3) and (-2, -5), we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
First, we find the difference in x-coordinates:
-2 - (-8) = -2 + 8 = 6
Next, we find the difference in y-coordinates:
-5 - (-3) = -5 + 3 = -2
Now, we have the two sides of the triangle:
Side 1 = 6
Side 2 = -2
To find the hypotenuse, we use the Pythagorean theorem:
Hypotenuse² = Side 1² + Side 2²
Hypotenuse² = 6² + (-2)²
Hypotenuse² = 36 + 4
Hypotenuse² = 40
Taking the square root of both sides gives us:
Hypotenuse = √40
Hypotenuse = √(4*10)
Hypotenuse = 2√10
Therefore, the distance between (-8, -3) and (-2, -5) is 2√10 units.