Question

What is the length of TH, when T (6, 9) and H (-4, -1)?

Answer 1

d = 10 sqrt(2)

Explanation:

The distance formula is

d = sqrt( (y2-y1) ^2 + ( x2-x1)^2)

d = sqrt( (-1-9) ^2 + ( -4-6)^2)

d = sqrt( (-10) ^2 + ( -10)^2)

d = sqrt( 100+100)

d = sqrt(200)

d = sqrt( 200*2)

d = sqrt(100) sqrt(2)

d = 10 sqrt(2)