Question

Explain how you could use the Pythagorean Theorem to find the distance between the points the coordinate pair negative four comma negative three and the coordinate pair one comma one. Find the distance. You can type carat two to indicate "squared" and "sqrt" to indicate "square root." (Examples: five carat two equals five squared and sqrtsqrt twenty-five equals the square root of twenty-five)

Answer 1

draw a diagram

Answer 2

create a right angled triangle

to find the lengths of the sides start at the right angle (-4, 1)

to find the horizonatal distance from -4 to 1 you would move 5 units

the vertical distance from 1 to -3 is -4 units

so then using pythagoras theorem the length of the hypotenuse is

\[(-4)^2 + 5^2 = c^2\]

just solve for c