"What is the distance between (8,5) and (1,2)?" solved and explained

High School
Geometry
High school geometry
Distance Formula

Dawson Downs

Answered question

2022-07-23

What is the distance between (8,5) and (1,2)?

Answer & Explanation

Jaylynn Huffman

Beginner2022-07-24Added 14 answers

We can find this distance using Pythagoras' formula. But now we only have one side of the triangle, so, we need to complete the rectangle triangle, and in order to make a

\frac{π}{2}

angle, we have to create two lines, one with the projection of the extremes in x axis, and the other with the projections in y axis. Then, we take the difference between the lines of both projections:

△ x = 8 - 1 = 7

△ y = 5 - 2 = 3

Now, apply the formula:

{distance}^{2} = 7^{2} + 3^{2}

distance = \sqrt{58}

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