Question

Find the distance between the point (6,7) and (_2,3)

Answer 1

Answer:

20√2

Explanation:

the the distance formula must be used

Answer 2

$\Large{\underline{\underline{\bf{Solution :}}}}$

We know that,

$\Large{\implies{\boxed{\boxed{\sf{Distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}}}}}$

Where,

• x1 = 6
• x2 = 2
• y1 = 7
• y2 = 3

_______________[Put Values]

$\sf{→Distance = \sqrt{(2 - 6)^2 + (7 - 3)^2}} \\ \\ \sf{→ Distance = \sqrt{(-4)^2 + (4)^2}} \\ \\ \sf{→ Distance = \sqrt{16 + 16}} \\ \\ \sf{→ Distance = \sqrt{32}} \\ \\ \sf{→ Distance = \sqrt{2 \times 2 \times 2 \times 2 \times 2}} \\ \\ \sf{→ Distance = 4\sqrt{2} } \\ \\ \Large{\implies{\boxed{\boxed{\sf{Distance = 4\sqrt{2}}}}}}$