Question

The distance between -5,5 and 3,-1

Answer 1

☯ SolutioN :

We know the distance formula.

$\small{\star{\boxed{\sf{Distance \: Formula = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} }}}}$

Where,

• x1 = -5
• x2 = 3
• y1 = 5
• y2 = -1

★ Putting Values ★

$\sf{\dashrightarrow Distance = \sqrt{\bigg(3 - (-5)\bigg)^2 + (-1 - 5)^2}} \\ \\ \sf{\dashrightarrow Distance = \sqrt{(3 + 5)^2 + (-6)^2}} \\ \\ \sf{\dashrightarrow Distance = \sqrt{(8)^2 + 36}} \\ \\ \sf{\dashrightarrow Distance = \sqrt{64 + 36}} \\ \\ \sf{\dashrightarrow Diatance = \sqrt{100}} \\ \\ \sf{\dashrightarrow Distance = (\sqrt{10})^2} \\ \\ \sf{\dashrightarrow Distance = 10} \\ \\ \Large{\implies{\boxed{\boxed{\sf{Distance = 10}}}}}$