COOL!! | Area of the Incircle of a Right Triangle? | Pythagorean Triple (3, 4, 5)

This video shows you some cool tricks for finding the area of the incircle (inscribed circle) of a right triangle with a Pythagorean triple (3, 4, 5) side lengths.

#circle
#triangle
#area
#geometry
#pythagorean

[piman]

For any triangle, the area is rs, where r is the radius of the in-circle and s is the semi-perimeter of the triangle. In this case, the area is (3 x 4)/2 = 6 and s = (3 + 4 + 5)/2 = 6. Thus 6r = 6 => r=1 etc., but your way was good because it didn't require a formula.

[adgfx]

Area of triangle=3×4/2=6 unit.Radius of circle be =r .Then r(3+4+5)/2=6=>6r=6=>r=6/6=1 unit

[AnonimityAssured]

I love being able to just glance at a puzzle and give the answer immediately. I've been working on incircles lately, so the groundwork was already done. It will be interesting to see whether you have used the simple formula for the radius of the incircle of a right triangle. I didn't even do that, as I already knew it for this particular triangle. Incidentally, have you seen the puzzle in which a cross is placed in a rectangle, forming something akin to the flag of Scotland? I believe PreMath showed it on Jan 8, 2023. There's an interesting link between the two problems.

[reu.mathematicsacademy]

Dr I have subscribed and already recommended my learners for the same