Close

Delete Collection?

Are you sure you want to delete this collection permanently?

Close

Delete Collection?

Are you sure you want to delete this collection permanently?

2a364dad-40dc-48c5-9aa5-48c143c6f1d3

Pythagorean Theorem from “A New Angle”.

Pythagorean Theorem from “a new angle”

                                             Pythagorean Theorem from “A New Angle”


Lets see the legacy theorem “The Pythagoras Theorem” from a totally new angle, I hope you understood (wink).

Proof-

Distance CD = (AB+AE)/10……………..(Piyush Theorem)

10CD = (a-d) +a

5CD + 5CD = 2a-d

5(BD-BC) + 5(CE-DE) = 2a-d

5BD – 5BC + 5CE – 5DE = 2a-d

5CE – 5BC = 2a-d—– (BD=DE)

5(CE-BC) = 2a-d————————eqn.1

Now,

CE^2 = AE^2 – AC^2

BC^2 = AB^2 – AC^2

CE^2- BC^2 = AE^2 – AB^2

(CE+BC)(CE-BC) = (AE +AB) (AE – AB)

(a +d)(CE – BC) = (a +a –d) (a-a +d)

(a +d)(CE-BC) = (2a-d) d

CE – BC = (2a-d) d/ (a +d) , put value from eqn.1

5(2a –d) d/ (a +d) = (2a-d)

5d/ (a +d) = 1

5d = a +d

5d – d = a

a = 4d

If it is a Right Angle Triangle,

(a +d)^2 = a^2 + (a-d) ^2

(a +d)^2 – (a-d) ^2 = a^2

(a + d + a – d)(a + d –a +d) = a^2

(2a)(2d) = a^2

a = 4d QED.

Copyrighted © Piyush Goel (1987)

https://piyushtheorem.wordpress.com/2017/09/09/pythagorean-theorem-from-a-new-angle/

Related Articles

1. Ensure you honestly have bloodsuckers, not bugs, ticks or different creepy crawlies.

You can contrast you're creepy crawly with the photos on our Identifying bed bugs Web page or show it to your neighborhood augmentation agent.EXIT (Extension operators are prepared in nuisance control issues and know your neighborhood.)

2. Try not to freeze!

It very well may be hard to kill bed bugs; however it's certainly feasible. Try not to toss out the majority of your things because the vast majority of them can be dealt with and spared. Tossing stuff out is costly, may spread the bloodsuckers to other individuals' homes and could cause more pressure.

3. Thoroughly consider your treatment choices - Don’'t instantly go after the splash can.

Be thorough in your methodology. Attempt different things first. Coordinated vermin the board (IPM) procedures may decrease the quantity of bed bugs and limit your contact with pesticides. If pesticides are required, dependably pursue mark bearings or contract an expert. There is assist accessible with learning about treatment alternatives. (4 pp, 480 K, About PDF)

4. Decrease the quantity of concealing spots - Clean up the messiness.

A jumbled home gives more places to bed bugs to cover up and makes finding and treating them harder. If bloodsuckers are in your bedding, utilizing excellent bed bug covers (encasements) on your sleeping pad and box springs make it harder for bed bugs to get to you while you rest. Leave the encasements on for a year. Make sure to purchase an item that has been tried for bloodsuckers and is sufficiently able to keep going for the entire year without tearing.

5. Frequently wash and warm dry your bed sheets, covers, blankets and any apparel that contacts the floor.

This lessens the quantity of bloodsuckers. Bed bugs and their eggs can cover up in clothing holders/hampers. Remember to clean them when you do the clothing.

6. Do-it-without anyone else's help frosty may not be a dependable strategy for bed bug control.

While solidifying can kill bed bugs, temperatures must stay low for quite a while. Home coolers may not be chilly enough to slaughter bed bugs; dependably utilize a thermometer to precisely check the temperature. Putting things outside in frigid temperatures could execute bloodsuckers, however, numerous components can influence the achievement of this technique.

7. Murder bloodsuckers with warmth, yet be extremely watchful.

Raising the indoor temperature with the indoor regulator or space warmers won't carry out the activity. Extraordinary gear and high temperatures are fundamental for fruitful warmth treatment. Dark plastic sacks in the sun may work to slaughter bed bugs in equipment or little things if the substance ends up sufficiently hot. Bed bugs kick the bucket when their body temperatures achieve 45°C (113°F). To slaughter bloodsuckers with warmth, the room or holder must be significantly more sweltering to guarantee supported warmth produces the bugs regardless of where they are stowing away

8. Don't pass your bed bugs on to other people.

Bed bugs are great wanderers. On the off chance that you toss out a sleeping cushion or furniture that has bloodsuckers in it, you should cut or here and there wreck it with the goal that nobody else takes it and gets bed bugs.

9. Decrease the quantity of bloodsuckers to diminish nibbles.

Careful vacuuming can dispose of a portion of your bloodsuckers. Deliberately vacuum mats, floors, upholstered furniture, bed outlines, under beds, around bed legs, and all splits and cleft around the room. Change the sack after each utilization so the bloodsuckers can't get away. Place the utilized pocket in a firmly fixed plastic pack and an outside rubbish container.

10. Swing to the experts, if necessary.

Enlisting an accomplished, dependable bug control proficient can build your shot of achievement in disposing of bloodsuckers. On the off chance that you engage a specialist, make sure it's an organization with decent notoriety and demand that it utilizes an IPM approach. Contact your state pesticide organization for direction about procuring proficient nuisance control organizations. Likewise, EPA's Citizen's Guide to Pest Control and Pesticide Safety gives data about IPM approaches, how to pick an irritation control organization, safe treatment of pesticides, and crisis data.

Reference Image
Close