Proof: as the measure up of an inscribed angle is equal to half the measure up of the intercepted arc, the inscribed angle is fifty percent the measure up of that is intercepted arc, that is a right line. As the arc\"s measure up is $180^\\circ$, the enrolled angle\"s measure up is $180^\\circ\\cdot\\frac12 = 90^\\circ$.$\\blacksquare$
When I checked the systems on the web there to be a whole bunch of other more complex proofs. Is mine valid? If that is invalid, could someone tell me why?
geometry circles proof-verification
edited Oct 29 \"13 in ~ 13:26
202k137137 gold badges258258 silver- badges481481 bronze title
asked Oct 29 \"13 at 12:55
Paul FilchPaul Filch
18311 gold badge33 silver badges1010 bronze badges
| present 1 much more comment
1 answer 1
energetic earliest Votes
Draw the radius from the facility of the circle to the allude that girlfriend think it has an edge of $90$ degrees and write under the angles:
reply Oct 29 \"13 at 14:44
4,6252121 silver badges4949 bronze title
add a comment |
Thanks for contributing response to princetoneclub.orgematics ridge Exchange!Please be certain to answer the question. Provide details and also share her research!
But avoid …Asking for help, clarification, or responding to other answers.Making statements based upon opinion; back them up with recommendations or personal experience.
You are watching: An angle inscribed in a semicircle is a right angle
Use princetoneclub.orgJax to layout equations. Princetoneclub.orgJax reference.
To discover more, watch our tips on writing good answers.
See more: How Many Cups Is 400Ml - How Many Cups Of Water Is 400Ml
Sign increase or log in in
sign up making use of Google
sign up making use of Facebook
sign up using Email and Password
Post together a guest
email Required, yet never shown
Post together a guest
Required, but never shown
article Your prize Discard
Not the prize you're looking for? Browse other questions tagged geometry one proof-verification or ask your very own question.
Featured ~ above Meta
An it is provided triangle developed using point out of tangency
evidence of the ultraparallel to organize in the Beltrami Klein version
Prove between Simson line & Nine point circle.
Arc vs Arc measure up
Altitudes and also Circumcircle
A method to directly see the Inscribed edge theorem? (i.e. Central angle is double the inscribed angle)
Is it possible to discover the radius that the Arc Majeur sculpture, understanding its measure up ($205.5^\\circ$), elevation ($60$m), and also width ($75$m)?
Triangle created by the midpoint and projection that the end of any chord ~ above the base of a semicircle does not readjust shape
warm Network inquiries much more hot inquiries
subscribe to RSS
concern feed To subscribe to this RSS feed, copy and paste this URL right into your RSS reader.
stack Exchange Network
site design / logo design © 2021 ridge Exchange Inc; user contributions licensed under cc by-sa. Rev2021.9.28.40331