Question

find the distance between the points (7,6) and (-3,-4)​

Answer 1

Answer:

=√+(7)square -(-3)square + √(6)square -(-4)square

=√(10) square + 10 square

=√20square

ans. =20 unit

Answer 2

$\huge\boxed{\underline{\bf\green{A} \: \red{N} \: \orange{S} \: \purple{W} \: \blue{E} \: \pink{R}}}$

Distance between point A (7 , 6) and B (-3 , -4)

$\bullet \:\:\:\boxed{\bf\orange{ Distance = \sqrt{ {(x_2 - x_1)}^{2} + {(y_2 - y_1)}^{2}}} }$

Here

• x₁ = 7
• x₂ = 6
• y₁ = - 3
• y₂ = - 4

Substitute values in formula :

$: \implies \sf \sqrt{ {( - 3 - 7)}^{2} + {( - 4 - 6)}^{2} } \\ \\ : \implies \sf \sqrt{ {( - 10)}^{2} + {( - 10)}^{2}} \: \: \: \: \: \: \: \: \: \: \\ \\ : \implies \sf \sqrt{100 + 100} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ : \implies \sf \sqrt{200} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ : \implies \sf10 \sqrt{2} \: unit \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$\large \therefore \underline{ \bf \blue{Distance \: of \: AB \: is \: 10\sqrt{2} \: unit }}$