Question

PLEASE HELP// 40 points

In the coordinate plane shown, how far apart are points E and D? Explain how you can use the Pythagorean theorem to determine this.

Answer 1

c is approximately 11.66 units

Explanation:

Point E is at coordinates (-3, 5)

Point D is at coordinates (3 ,-5)

Making a right triangle

The x distance is (3--3) = (3+3) 6

and the y distance is (5--5) = (5+5) = 10

We can use the Pythagorean theorem to calculate the hypotenuse, which is the distance from E to D

a^2 + b^2 = c^2

6^2 + 10^2 = c^2

36+ 100 = c^2

136 = c^2

Take the square root of each side

sqrt(136) = sqrt(c^2)

We only take the positive square root since the distance must be positive.

sqrt(4)sqrt(34) = c

2sqrt(34) = c

c is approximately 11.66 units