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Find the distance between the points $(3,8)$ and $(10,8)$ . $\newline$ $\_\_\_$ units

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Distance between two points

Full solution

Q. Find the distance between the points

(3,8)

and

(10,8)

.

\newline

\_\_\_

units

Apply distance formula: Step $1$ : Apply the distance formula $\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$ . Here, $(x_1, y_1) = (3, 8)$ and $(x_2, y_2) = (10, 8)$ . $\newline$ Calculate $(x_2-x_1)^2$ : $(10-3)^2 = 7^2 = 49$
Calculate $x^2$ : Step $2$ : Calculate $(y_2-y_1)^2$ : $(8-8)^2 = 0^2 = 0$
Calculate $y^2$ : Step $3$ : Add the results of Step $1$ and Step $2$ : $49 + 0 = 49$
Add results: Step $4$ : Take the square root of the sum from Step $3$ : $\sqrt{49} = 7$

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