B. sqrt 34
To find the distance between two points on a coordinate grid, you can use the distance formula:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, point R is at (2,1) and point S is at (6,3).
Plugging the values into the formula:
Distance = sqrt((6-2)^2 + (3-1)^2)
Distance = sqrt(4^2 + 2^2)
Distance = sqrt(16 + 4)
Distance = sqrt(20)
Distance = sqrt(4*5)
Distance = 2sqrt(5)
Therefore, the distance between point R and point S is sqrt(20) or simplified to sqrt(4*5) which is sqrt(4)*sqrt(5) = 2*sqrt(5).
The coordinate grid shows right triangle RST.
What is the distance, in units, from point R to point S ?
A. 6
B. squrt 34
C. squrt 16
D. squrt 8
1 answer