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The map of a walking trail is drawn on a coordinate grid with three points of interest. The trail starts at R(−3, 2) and goes to S(2,
Question
The map of a walking trail is drawn on a coordinate grid with three points of interest.
The trail starts at R(−3, 2) and goes to S(2, 2) and continues to T(2, −5). The total length of the walking trail is ____ units. (Input whole numbers only.)
PLEASEE HELPPPP!!!!!!!!
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Mathematics
5 years
2021-07-26T19:10:57+00:00
2021-07-26T19:10:57+00:00 1 Answers
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Answers ( )
Answer:
12 units
Step-by-step explanation:
Given the points :
R(−3, 2) – – – > S(2, 2) – – – – > T(2, −5).
Distance between R and S
Distance between two points is obtained thus :
D = sqrt((x2 – x1)^2 + (y2 – y1)^2)
Distance between R and S
x1 = – 3 ; y1= 2 ; x2 = 2 ; y2 = 2
D1 = sqrt((2 – (-3))^2 + (2 – 2)^2)
D1 = sqrt((5^2 + 0^2))
D1 = sqrt(25)
D1 = 5
Distance between S and T
x1 = 2 ; y1= 2 ; x2 = 2 ; y2 = – 5
D2 = sqrt((2 – 2)^2 + (-5 – 2)^2)
D2 = sqrt((0^2 + (-7)^2))
D2 = sqrt(49)
D2 = 7
Hence, total length = D1 + D2 = 5 + 7 = 12 units