Question

Find the distance between the points 7,9 3,-7

Answer 1

ANSWER IS IN THE ATTACHMENT...

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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 = 7
• x2 = 3
• y1 = 9
• y2 = -7

_______________[Put Values]

$\sf{→Distance = \sqrt{(3 - 7)^2 + (-7 - 9)^2}} \\ \\ \sf{→ Distance = \sqrt{(-4)^2 + (16)^2}} \\ \\ \sf{→ Distance = \sqrt{16 + 256}} \\ \\ \sf{→ Distance = \sqrt{272}} \\ \\ \Large{\implies{\boxed{\boxed{\sf{Distance = \sqrt{272}}}}}}$