ST Alpha - "attention math smartpeople: Can you walk me through how the r = ( P + B

SlickerTalk
Search Archives
The Leaderboard
The FAQ

Down to Post

Backboards:

Posts: 154

attention math smartpeople: Can you walk me through how the r = ( P + B – H ) / 2 is arrived at?

Posted by prayformojo 🐵 (aka mayhem) Nov 30 '23, 10:24

in determining the area of a circle inscribed in a right triangle....

"
Approach: Formula for calculating the inradius of a right angled triangle can be given as r = ( P + B – H ) / 2. And we know that the area of a circle is PI * r2 where PI = 22 / 7 and r is the radius of the circle. Hence the area of the incircle will be PI * ((P + B – H) / 2)2.
"

I understand (ish) all that, but how is the
r = ( P + B – H ) / 2
arrived at?

Can this be proven/deconstructed, or is it just accepted as a given?

https://media.geeksforgeeks.org/wp-content/uploads/InCircle.png (media.geeksforgeeks.org)

InCircle.png

Responses:

this video helps, but it's basically that you're adding up the areas of a number triangles. Draw a line from the points of the triangles to the - colin Nov 30, 10:28 [youtube] 2
- awesome. thank you! -- nm - prayformojo 🐵 Nov 30, 10:41 1
  - (I'll need to watch this about 6 more times to get it, but I sorrrrrrta see how it goes. also: I hoped turning on the captions would help me - prayformojo 🐵 Nov 30, 10:47

Post a message top

attention math smartpeople: Can you walk me through how the r = ( P + B – H ) / 2 is arrived at?

Replies are disabled on threads older than 7 days.