Question

Distance between the points A(–2, 9) and B(4, 6) is

Answer 1

= _______________
√( x2-x1)² + (y2-y1)²
= ______________
√(4+2)² +(6-9)²
= ______________
√(6)² + (-3)²
= ______________
√ 36+9
= ________
√45
= __
3√5

Answer 2

_______________________✍


$distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } \\ \\ = \sqrt{ {( 4 + 2)}^{2} + {(6 - 9)}^{2} } \\ \\ = \sqrt{36 + 9} \\ \\ = \sqrt{3 \times 3 \times 5} \\ \\ = 3 \sqrt{5} unit$
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