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AREA OF RIGHT ANGLE TRIANGLE WITHOUT FINDING HEIGHT IR BASE by meta007

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hive-163521 · @meta007 ·
$5.45
AREA OF RIGHT ANGLE TRIANGLE WITHOUT FINDING HEIGHT IR BASE
Hello math bugs(🐞) & hivers(🐝) warm welcome to my article.I hope you are strong and stout and doing good in life.Thanks for the support. I got more that 784 love (❀️) in my previous post.It is really encouraging to me.

Today I got another intersting geometrical problem which you gonna like.You must have seen the cover photo. Let me explain the problem a little bit.**If you got hypotenuse and perimeter of a right angle triangle,you can find its area without calculating the base or height**.you can find them but it will be a long process.I am gonna show a formulla with which you can do it without a pen or paper within a few seconds. Try it yourself and then  go ahead to check my solution.


![](https://images.ecency.com/DQmVksQA8SnPnX2jSCoFczE3qpp4oHgzbKKRYm5aGETaTA9/img_0.3783486866945451.jpg)


**The solution**:

The formulla is **s(s-c) unitΒ²**. Where **s** means semi-perimeter of the triangle.Check the solution below before heading to the proof of the  formulla:


![](https://images.ecency.com/DQmfVLiKrJvD5J7fmFZqHUcsjvVGpeZTKtwhjnFZKCjA1At/img_0.3220758982531224.jpg)

**Now let's find the formulla:**

If we wanna prove something we have to know the other related proven formullae. Here you must be aware of two formullae i.e formulla of in-radius and the other formulla of area of a right angle triangle.Check the formullae below and proof of today's formulla used to find the required area.

![](https://images.ecency.com/DQmS17bxiPfrbEczd6UjBP5PqAiiikFEEyPcQ51r3huRRar/img_0.2245351440467039.jpg)

**The other way to solve the problem** is to find the value of a and b using Pythagorean formulla. Let's check it below: 

![](https://images.ecency.com/DQmWQNCWadVjigUQ3s48tmWhVKVWFziH78vtpn6X6zdBEFr/img_0.1814098647983118.jpg)
 Let me show the remain portion. How we should use pythagorean formullae, check it below:

![](https://images.ecency.com/DQmQLVn7Vgi1QX4Tfoqg1g9nArcGjAC8eHbEaAoeWyV9VxJ/img_0.4768241081475442.jpg)

All the formullae used here today except the the proven one  may be unknown to many of you. If you need prove of them make a comment below. I'll do it in article to come.

You can check my previous related article below:
[In-radius and In-circle ](https://ecency.com/hive-163521/@meta007/knowing-in-circle)

I hope you find my work interesting.

Thank you so much for visiting 

Have a great day

All is well

**Regards**: @meta007
πŸ‘  , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , and 535 others
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@carlitazulay · 
Thanks so much friend for sharing with us, greetings 🌹🌹
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@hivebuzz · 
Congratulations @meta007! You have completed the following achievement on the Hive blockchain and have been rewarded with new badge(s):

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<sub>_You can view your badges on [your board](https://hivebuzz.me/@meta007) and compare yourself to others in the [Ranking](https://hivebuzz.me/ranking)_</sub>
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@indiaunited ·
Indiaunited Curation 1659716999783
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πŸ‘  
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@intishar · 
Mathematics is my favourite subject and I love to solve math. Good to see your post πŸ™‚
πŸ‘  
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@meta007 · 
Ah thanks man for visiting.
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@stemsocial ·
re-meta007-area-of-right-angle-triangle-20220806t025612100z
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