Math Is Fun Forum

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Find Distance Between Two Points

Find distance between the two given points.

Problem 30; page 7.

Note: SOMETIMES I WILL REWORD SULLIVAN'S INSTRUCTIONS TO SHORTEN THE SENTENCE(S).

Our two points:

P_1 = (a, a); P_2 = (0, 0)

Find d(P_1, P_2).

Back to the distance formula for two points on the xy-plane.

Let d = distance

d = sqrt{(0 - a)^2 + (0 - a)^2}

d = sqrt{(-a)^2 + (-b)^2}

d = sqrt{a^2 + a^2}

d = sqrt{2a^2}

d = sqrt{a^2} • sqrt{2}

d = a•sqrt{2}

You say?

Bob

Administrator

Registered: 2010-06-20

Posts: 10,627

Re: Find Distance Between Two Points

Correct.

Bob

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Re: Find Distance Between Two Points

Correct.

Bob

This is another basic algebra problem in the Sullivan book. Why I posted this here is beyond me. This is what middle-aged folks do, right? We must keep busy.