Proof: together the measure up of one inscribed angle is same to half the measure up of its intercepted arc, the inscribed angle is half the measure up of that is intercepted arc, that is a right line. As the arc"s measure is $180^\circ$, the enrolled angle"s measure is $180^\circ\cdot\frac12 = 90^\circ$.$\blacksquare$
When I confirm the systems on the web there were a whole bunch of various other more complicated proofs. Is mine valid? If that is invalid, might someone tell me why?
geometry one proof-verification
edited Oct 29 "13 in ~ 13:26
202k138138 gold badges259259 silver- badges481481 bronze badges
request Oct 29 "13 in ~ 12:55
Paul FilchPaul Filch
18311 gold badge33 silver- badges1010 bronze title
| show 1 much more comment
1 answer 1
active oldest Votes
Draw the radius from the center of the circle come the suggest that friend think it has actually an angle of $90$ degrees and write down the angles:
answer Oct 29 "13 in ~ 14:44
4,6252121 silver badges4949 bronze title
add a comment |
Thanks for contributing response to dearteassociazione.orgematics stack Exchange!Please be certain to answer the question. Administer details and also share your research!
But avoid …Asking for help, clarification, or responding to various other answers.Making statements based on opinion; ago them increase with recommendations or an individual experience.
You are watching: An angle inscribed in a semicircle
Use dearteassociazione.orgJax to style equations. Dearteassociazione.orgJax reference.
To discover more, check out our advice on writing good answers.
See more: How To Get Bots On Black Ops Xbox 360 ) I Don'T Even Get Th
Sign increase or log in in
sign up making use of Google
authorize up utilizing Facebook
sign up utilizing Email and Password
Post together a guest
email Required, however never shown
Post together a guest
Required, yet never shown
write-up Your prize Discard
Not the price you're feather for? Browse various other questions tagged geometry circles proof-verification or ask your own question.
The Overflow Blog
Featured on Meta
An it is intended triangle created using clues of tangency
proof of the ultraparallel organize in the Beltrami Klein design
Prove between Simson line & Nine suggest circle.
Arc vs Arc measure
Altitudes and also Circumcircle
A method to directly see the Inscribed edge theorem? (i.e. Central angle is double the inscriptions angle)
Is it feasible to uncover the radius of the Arc Majeur sculpture, learning its measure ($205.5^\circ$), height ($60$m), and also width ($75$m)?
Triangle created by the midpoint and also projection that the ends of any chord onto the base of a semicircle walk not adjust shape
hot Network questions more hot concerns
i ordered it to RSS
inquiry feed To i ordered it to this RSS feed, copy and also paste this URL right into your RSS reader.
ridge Exchange Network
site style / logo © 2021 ridge Exchange Inc; user contributions license is granted under cc by-sa. Rev2021.10.1.40358