Question

pythagorean distance
what is the distance c?
points: (-2, 11) (-5, 7)
a = δx = 3
b = δy = 4
c =?
pythagorean formula c² = a² + b²

Explanation:

Step1: Recall Pythagorean formula

The formula for the distance \( c \) (hypotenuse) in a right triangle is \( c^{2}=a^{2}+b^{2} \), where \( a = 3 \) and \( b = 4 \).

Step2: Substitute values into formula

Substitute \( a = 3 \) and \( b = 4 \) into the formula: \( c^{2}=3^{2}+4^{2}=9 + 16=25 \).

Step3: Solve for \( c \)

Take the square root of both sides: \( c=\sqrt{25} = 5 \).

Answer:

5