How to use law of cosines to find the missing angles of a triangle given SSS from isosceles triangle side rule Watch Video

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Thomas Tuchel has torn into the officials of Bayern Munich's Champions League semi-final tie against Real Madrid after his side was denied a potential late equalizer.<br/><br/>Bayern crashed out of the Champions League dramatically on Wednesday night, leading the tie with three minutes to go but conceding two late goals to Joselu as Madrid booked their place at Wembley at the start of June.<br/><br/>But the former Stoke forward's strikes were only half the story, with Matthijs De Ligt netting in the 13th minute of injury time, only for Polish referee Szymon Marciniak to have blown his whistle for offside moments before.<br/><br/>Replays showed that the call was extremely tight, with Bayern's Noussair Mazraoui appearing at first glance to be onside despite the call. Due to the whistle already being blown, VAR could not intervene, with officials told to delay their calls in case they were wrong.<br/><br/>Tuchel, speaking to TNT Sports, revealed the assistant referee had apologized to him for flagging early in a move that could have cost his team the game. <br/><br/>'That was an absolute disaster,' the German said. 'A violation of the rules. <br/><br/>'This scene must be played out to the end. That's the rule. The linesman made the mistake, and the referee made the second mistake.<br/><br/>'We were almost there and a very unusual mistake of the best player for the equalizer, then we conceded in a very narrow decision in stoppage time. Then we scored one and it was a disastrous decision from the linesman and the referee, so it feels almost like a betrayal in the end because of that decision.<br/><br/>'The linesman said sorry. That does not help at that kind of level, to raise the flag in a decision like this, in a close decision at the last minute. The referee as well, does not have to whistle, he sees that we win the second ball, and he sees that we get the shot away. To whistle is a very, very bad decision.<br/><br/>'It is against the rules and it is a bad decision from both of them. It is a disaster, tough to swallow, but it is the way it is.'<br/><br/>He added: 'Having the balls to raise the flag in a situation like that is a big mistake. And then the referee, when he saw that we won the rebound, decided to whistle. It wouldn't have happened the other way round.<br/><br/>'We accept the apology (from the linesman) but this is not the time to apologize. It's the semi-finals and it's not the time to make those sort of mistakes.'<br/><br/>De Ligt had led the Bayern protests on the pitch and echoed his manager's comments post-match in that he too had received an apology from the officials.<br/><br/>Bayern will now go trophyless for the season for the first time in over a decade.<br/><br/>'We all know the rules if the offside is not clear then we have to play on,' said the Dutch defender. 'It's a disgrace that it happened against us and not for us at the other end when Joselu was almost offside and the game was allowed to continue.<br/><br/>'A decision like that in the last minute is a mistake It's always easy to talk about the referee after the game but this time it's
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VAR controversy struck again after two interventions infuriated Arsenal and Bournemouth during the Gunners' 3-0 victory - leading to calls for the technology to be axed.<br/><br/>Both sides found themselves on the wrong end of divisive decisions from the officials during a dramatic showdown at the Emirates, with Ryan Christie escaping a red card for a high tackle and the Cherries seeing a goal ruled out in the second half.<br/><br/>Strikes from Bukayo Saka and Leandro Trossard put Arsenal on course to move four points clear at the top of the Premier League. Still, the visitors hit back through Antoine Semenyo, the forward bundling in after Christie's strike hit the woodwork.<br/><br/>However, the effort was chalked off after Dominic Solanke was adjudged to have fouled goalkeeper David Raya after backing into him in the build-up.<br/><br/>As the loose ball dropped inside the penalty area, Solanke moved into Raya's path and looked to pressure him while the stopper tried to weakly punch away. The contact had appeared minimal but referee David Coote's whistle then sounded.<br/><br/>Cherries boss Andoni Iraola and his assistants were incensed after watching a replay in the dugout but their appeals to the fourth official fell on deaf ears.<br/><br/>A delay lasting several minutes allowed the officials at Stockley Park to check several replays of the incident but Coote was not advised to head to his pitchside monitor.<br/><br/>Bournemouth also believed they should have been awarded a penalty seconds before the disallowed goal after Philip Billing was pulled back by William Saliba. VAR did not intervene, though, thrusting the video team into the spotlight once again.<br/><br/>Piers Morgan has now led calls for the technology to be dropped altogether.<br/><br/>'VAR is so bad that even when Arsenal gets a verdict our way (like just now), I still hate the bloody thing for the way it sucks all the joy out of the game,' he posted on X.<br/><br/>'Just get rid of it.'<br/><br/>Arsenal legend Ian Wright also admitted VAR should not have ruled out the goal.<br/><br/>'Didn't think it was a penalty,' he said. 'Bournemouth's goal should have stood.'<br/><br/>Other social media users had their say on the controversy, too.<br/><br/>'Premier League implementation of VAR is baffling,' one said. 'VAR isn't supposed to re-referee games. It's simply supposed to tell the ref if and when he's made a clear mistake. That's how it works in other leagues anyway.'<br/><br/>Another wrote: 'Ben White gets away with it EVERY WEEK. I've had enough of VAR.' <br/><br/>'That's a goal all day, I have to be honest,' an Arsenal supporter added. 'VAR a shambles for all involved, just have to hope it's not your team each week.' <br/><br/>VAR controversy had also struck earlier in the game after a high challenge from Christie on Saka's knee was deemed to have been reckless but not dangerous. <br/><br/>Saka broke the deadlock from Arsenal's 16th shot of the game, the winger dusting himself off to coolly score a penalty after Kai Havertz was felled in the box.<br/><br/>Trossard then fired an effort underneath goalkeeper Mark Travers to double
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In 2022, a couple of scientist squads from Oxford and Vienna pulled off a real mind-bender. They did this experiment where they split up a photon using some fancy crystal mojo. And get this: the photon ended up cruising through both the past and the future at the same time! It's like time travel, but with a twist—'cause, ya know, there are always exceptions to the rule. But hey, it's still pretty darn cool to think about, right? Makes you wonder what other crazy stuff's out there waiting to be discovered!Credit: <br/>CC BY-SA 3.0 https://creativecommons.org/licenses/by-sa/3.0/: <br/>Wave-particle duality: Jubobroff, https://commons.wikimedia.org/wiki/File:Wave-particle_duality.ogv <br/>Quantum superposition: Jubobroff J.Bobroff, https://commons.wikimedia.org/wiki/File:Quantum_superposition_of_states_and_decoherence.ogv <br/>Sq3d-Feuille lenticulaire: Bernard SOULIER, https://commons.wikimedia.org/wiki/File:Sq3d-Feuille_lenticulaire.jpg <br/>CC BY-SA 4.0 https://creativecommons.org/licenses/by-sa/4.0/: <br/>Pinus: Mika-Pekka Markkanen, https://commons.wikimedia.org/wiki/File:Pinus_Sylvestris_Pollen_Corona.jpg <br/>Lenticular printing principle: Cmglee, https://commons.wikimedia.org/wiki/File:Lenticular_printing_principle.svg <br/>Animation is created by Bright Side.<br/><br/>#brightside <br/><br/>----------------------------------------------------------------------------------------<br/>Music from TheSoul Sound: https://thesoul-sound.com/ <br/><br/>Listen to Bright Side on: <br/>Spotify - https://open.spotify.com/show/0hUkPxD34jRLrMrJux4VxV<br/>Apple Podcast - https://podcasts.apple.com/podcast/idhttps-podcasts-apple-com-podcast-bright-side/id1554898078<br/>----------------------------------------------------------------------------------------<br/>Our Social Media:<br/>Facebook - https://www.facebook.com/brightside/<br/>Instagram - https://www.instagram.com/brightside.official/<br/>Tik Tok - https://www.tiktok.com/@brightside.official?lang=en<br/>Snapchat - https://www.snapchat.com/p/c6a1e38a-bff1-4a40-9731-2c8234ccb19f/1866144599336960<br/><br/>Stock materials (photos, footages and other):<br/> https://www.depositphotos.com <br/>https://www.shutterstock.com <br/>https://www.eastnews.ru <br/>----------------------------------------------------------------------------------------<br/>For more videos and articles visit: http://www.brightside.me
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