Question

Which of the following sums would be under the radical symbol to find the distance between the points (7, -1) and (-8, -9)?

1^2 + 10^2
1^2 + 8^2
15^2 + 8^2

Answer 1

15^2+8^2

Explanation:

Answer 2

The "distance formula" an extension of the Pythagorean Theorem is:

d^2=(x2-x1)^2+(y2-y1)^2 in this case:

d^2=(-8-7)^2+(-9--1)^2

d^2=(-15)^2+(-8)^2

d^2=15^2+8^2

d=√(15^2+8^2)

So the answer is 15^2+8^2