Question

What is the distance between S(-10, 5), and T( 3,- 8)?
(a) 4 √29 (b) 2 √29 (c) 13√2 (d) 16 √3

Answer 1

Answer:

C) 13root 2

Step-by-step explanation:

Hope this answer will help you

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

The distance between S(-10, 5), and T( 3,- 8)

(a) 4√29

(b) 2√29

(c) 13√2

(d) 16√3

FORMULA TO BE IMPLEMENTED

For the given two points $\sf{A( x_1 , y_1) \: \: and \: \: B( x_2 , y_2)}$ the distance between the points

$= \sf{ \sqrt{ {(x_2 -x_1 )}^{2} + {(y_2 -y_1 )}^{2} } }$

EVALUATION

Here the given points are S(-10, 5) and T( 3,- 8)

So the required distance between S(-10, 5), and T( 3,- 8)

$\sf = \sqrt{ {( - 10 - 3)}^{2} + {(5 + 8)}^{2} }$

$\sf = \sqrt{ {( - 13)}^{2} + {(13)}^{2} }$

$\sf = \sqrt{ {( 13)}^{2} + {(13)}^{2} }$

$\sf = \sqrt{2 \times {( 13)}^{2} }$

$\sf = 13 \sqrt{2 }$

FINAL ANSWER

Hence the correct option is (c) 13√2

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