Right Triangles Inscribed in Circles (Proof)

Proof showing that a triangle inscribed in a circle having a diameter as one side is a right triangle

Category:

Education

Tags:

• right
• triangle
• inscribed
• circle
• circumscribed
• prrof
• geometry

[carlosyt2]

haha i like how you go "under the surface" to show us what exactly is going on so then we can actually understand instead of just doing what the teacher says....love the videos =]

[TheHogTieChamp]

With parsimony, one might note the following:

The diameter is special case of a central angle that subtends half the circumference (180 deg of arc).

The off-diameter vertex forms an inscribed angle, subtending the same half-circumference, thus, its internal measure is one-half of 180 degrees, which is 90 degrees.

Thus, the triangle formed by the off-diameter vertex and the end-point of the diameter is a right triangle.

Holy crap! I'm learning!

[achyutreddy24]

@sophey11 How is this not fun?

[sophey11]

you can't ruin the fun of a proof if theres no fun in the proof to begin with

[zOmgOdZ]

mind = blown

[mapleworld5]

i just love all your videos, they helped me out soo much on difficult mathmatics.

[dmoore1c13]

Do you have a video to show that every triangle has a circumscribed circle? I would love to see that. Love your videos so helpful.

Thank you.

[Dexduzdiz]

so goooddd

[SuperJojo50]

That's pretty cool

[game1208]

Nice Video