Point-To-Line Distance Formula: Geometric Proof #2

4

• 23
• 0
• 0.270

• Published on Jan 04, 2021

In this video I go over yet another video on deriving the distance formula between a line and a point. This time I solve it using a second Geometric Proof which is very similar to the first method but this time I use an ingenious strategy of identifying two triangles with identical areas but one of which contains the distance from the point to the line. To do this I move the triangle formed by the slope of the line directly on top of the other triangle which contains the distance. Thus we can develop two formulas for the overall area by identifying two different amplitudes or heights, and bases of the triangles. And as in my other derivations, the proof is only valid for slanted lines but nonetheless the final result is applicable for horizontal and vertical lines. This is a great video to understand the many different methods, as well as some ingenious thinking outside the box methods, that can be used to solve the same exact problem, so make sure to watch this video!

View video notes on the Hive blockchain: https://peakd.com/mathematics/@mes/video-notes-point-to-line-distance-formula-geometric-proof-2

Related Videos:

Point-To-Line Distance Formula: Alternative Formula: https://youtu.be/z56Gx6m9uqs
Point-To-Line Distance Formula: Geometric Proof #1: https://youtu.be/9ilcXZn9CfE
Point-To-Line Distance Formula: Algebraic Proof: https://youtu.be/tngPrM2d-OM
Simple Proof of the Pythagorean Theorem: http://youtu.be/yt-EJlbJQp8
Negative Reciprocals and Perpendicular Lines: http://youtu.be/Ue7FmrfmuX4 .

SUBSCRIBE via EMAIL: https://mes.fm/subscribe

DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate

Like, Subscribe, Favorite, and Comment Below!

MES Truth: https://mes.fm/truth
Official Website: https://MES.fm
Hive: https://peakd.com/@mes
Gab: https://gab.ai/matheasysolutions
Minds: https://minds.com/matheasysolutions
Pinterest: https://pinterest.com/MathEasySolns
Instagram: https://instagram.com/MathEasySolutions
Email me: contact@mes.fm

Free Calculators: https://mes.fm/calculators

BMI Calculator: https://bmicalculator.mes.fm
Mortgage Calculator: https://mortgagecalculator.mes.fm
Percentage Calculator: https://percentagecalculator.mes.fm

Free Online Tools: https://mes.fm/tools

iPhone and Android Apps: https://mes.fm/mobile-apps

Tags :

To comment on this video please connect a HIVE account to your profile: Connect HIVE Account

06:36
9 views 9 months ago \$
07:26
3 views a year ago \$
03:00
4 views 2 years ago \$
11:28
1 views a year ago \$
17:59
34 views a year ago \$

More Videos

02:50
11 views a year ago \$
02:49:34
2 views a year ago \$
01:25:45
10 views a year ago \$
35:59
5 views a year ago \$
03:08
15 views a year ago \$
01:08:16
5 views a year ago \$
01:08:21
9 views a year ago \$
09:54
12 views a year ago \$
02:39
1 views 2 weeks ago \$
01:04:25
10 views a year ago \$
11:19
6 views a year ago \$
13:43
60 views 2 years ago \$
40:56
6 views a year ago \$
01:39
1 views 3 months ago \$
09:54
0 views a month ago \$
02:50
3 views a year ago \$
54:37
0 views a year ago \$
01:14:02
12 views a year ago \$
02:09
6 views 7 months ago \$
26:54
6 views a year ago \$
45:47
15 views a year ago \$
12:15
3 views 6 months ago \$
03:16
46 views 10 months ago \$
16:12
18 views a year ago \$
45:43
97 views a year ago \$