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Find the length of Jk if J is (-20,53) and K is (36,10)

a) 70 units
b) 56 units
c) 66 units
d) 50 units

User Sitakant
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1 Answer

4 votes

Final answer:

To find the length of JK, we use the distance formula, which results in an approximate distance of 70 units, making the answer (a) 70 units.

Step-by-step explanation:

The question asks us to find the length of JK given two points J and K with their coordinates. To do this we apply the distance formula for points in a Cartesian plane, which is √((x2 - x1)² + (y2 - y1)²). Using J (-20, 53) and K (36, 10), we calculate:

  • x2 - x1 = 36 - (-20) = 36 + 20 = 56
  • y2 - y1 = 10 - 53 = -43
  • Distance = √(56² + (-43)²) = √(3136 + 1849) = √4985
  • Distance = √4985 ≈ 70.6 ≈ 70 units (approximated to the nearest whole number)

Therefore, the length of JK is approximately 70 units.

User Robert Hunt
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