Question

What is the length of segment AB
A. 5
B. 6
C. 8
D. 10​

Answer 1

The length is D. 10

√ (x2 - x1)^2 + (y2 - y1)^2

√ (0-6)^2 + (10 - 2)^2

√ (-6)^2 + (8)^2

√ 36 + 64

√ 100 = 10

Answer 2

D. 10

Explanation:

The formula of a distance between two points:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

From the graph we have the points A(6, 2) and B(0, 10). Substitute:

`AB=√((0-6)^2+(10-2)^2)=√((-6)^2+8^2)=√(36+64)=√(100)=10`