Question

Find the distance between the points ( 19,-5) and ( 11, 10).

Answer 1

Answer: 17? . . . . . .

Answer 2

Answer:

• Let the given two points be A & B. Let A ( 19 , - 5 ) be ( x₁ , y₁ ) & B ( 11 , 10 ) be ( x₂ , y₂ )

1. Remember : The formula to find out the distance between any two points is $\tt{ \sqrt{( x_{2} -x _{1}) ^{2} + (y _{2} - y_{1}) ^{2} }}$ .

$\large{ \tt{✺ \: SOLUTION}} :$

$\large{ \boxed{ \tt{AB = \sqrt{(x_{2} - x_{1} ) ^{2} + (y_{2} - y_{1}) ^{2} } }}}$

$\large{ \tt{⟶ \sqrt{(11 - 19)^{2} + (10 - ( - 5) ^{2} } }}$

$\large{ \tt{⟶ \sqrt{ {8}^{2} + {15}^{2} } }}$

$\large{ \tt{⟶ \: \sqrt{64 + 225} }}$

$\large{ \tt{⟶ \sqrt{289}}}$

$\boxed{ \large{ \tt{⟶ \: 17 \: \text{units}}}}$

• And we're done! Let me know if you have any questions regarding my answer :)

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