Mathematics: How to find the distance between (3,-2) and (9,2) using pythagorean theorum?

How to find the distance between (3,-2) and (9,2) - id32924081313, chrisraptorofficial

Ответ:

kaybaby23

11.01.2022

If you imagine the two points on a grid, the difference between their x coordinates is 6 (9-3) and the distance between their y coordinates is 4 (|-2-2|).

In the Pythagorean theorem (a $a^{2}+ b^{2} = c^{2}$ , these would count for the values of a and b, respectively (the legs of the triangle).

So, to find the hypotenuse, which is the distance between the points, square 6 and 4 to get 36 and 16, and find their sum: 52. 52, therefore, is the hypotenuse squared. So, find the square root of 52 to get $\sqrt{52}$ , or ~7.2111 (exact form: $2 \sqrt{13}$ )

From this is derived the distance formula,
$\sqrt{ ( x_{2}- x_{1} )^{2}+ ( y_{2}- y_{1} )^{2} }$

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Ответ:

halllawson

29.06.2022

Mathematics

Step-by-step explanation:

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How to find the distance between (3,-2) and (9,2) using pythagorean theorum?

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