Question

find the distance between the points (-2,3)and (5,4)​

Answer 1

Answer:

5√2 units

Step-by-step explanation:

FORMULA:

√(x2 - x1)² + (y2 - y1)²

• x1 = -2
• y1 = 3
• x2 = 5
• y2 = 4

$distance = \sqrt{ {(5 - ( - 2))}^{2} + {(4 - 3)}^{2} } \\ = \sqrt{ {(5 + 2)}^{2} + ( {1)}^{2} } \\ = \sqrt{ {7}^{2} + 1 } \\ = \sqrt{49 + 1} \\ = \sqrt{50} \\ = \sqrt{25 \times 2} \\ = \sqrt{5 \times 5 \times 2} \\ = 5 \sqrt{2} units$