Math Problem That Went Viral in 2020. Can you solve it? - By tecmath
Transcript
| 00:0-1 | Good day . Welcome to Tech Math channel , Great | |
| 00:01 | Little Math problem here for you to solve what we | |
| 00:04 | have is we have a square and inside the square | |
| 00:08 | from a central interior point , we have four lines | |
| 00:11 | radiating out there radiating out and they're hitting the midpoint | |
| 00:15 | of each one of these sides here . So this | |
| 00:17 | line goes from the interior and it's the midpoint of | |
| 00:19 | this side . This line is going off to the | |
| 00:21 | midpoint of this side and so on and so forth | |
| 00:24 | . What it's done is it's broken up our square | |
| 00:26 | into four unequal parts ones , 24 centimeters once , | |
| 00:30 | 30 centimeters squared once 48 centimeters squared . This is | |
| 00:34 | your problem . This is the part you're trying to | |
| 00:36 | work out how big is this unknown party . Just | |
| 00:40 | a little thing here . This diagram is not drawn | |
| 00:42 | to scale . This is not a problem where you're | |
| 00:43 | going to be using measurement to work it out , | |
| 00:46 | you're going to use a bit of logic anyway , | |
| 00:48 | Good luck solving that , pause the video , give | |
| 00:50 | it a go and then I'll come back in a | |
| 00:52 | second with the solution . Mhm Okay . All right | |
| 01:10 | , time's up . How did you go ? Did | |
| 01:11 | you work that out if you did ? Congratulations . | |
| 01:14 | If not . Well , I'll tell you what , | |
| 01:15 | I'll go through right now . How I go through | |
| 01:17 | solving this and you might want to pause it even | |
| 01:19 | just a little bit into this . If you are | |
| 01:21 | starting to get the idea , that might be enough | |
| 01:23 | of a hint to keep you going . If you | |
| 01:24 | didn't solve it , that is so the first thing | |
| 01:26 | we're going to do is we're going to break each | |
| 01:28 | of our parts into two . We're going to do | |
| 01:30 | that by drawing a line from the corner to the | |
| 01:33 | interior part here . Breaking the 24 centimeter part into | |
| 01:36 | two . We're going to break the 30 centimetre part | |
| 01:38 | into two . We're going to break the 48 centimeter | |
| 01:41 | , pardon the two . And we're going to break | |
| 01:44 | the unknown part into two . Maybe you can go | |
| 01:47 | on from here and solve it if you didn't have | |
| 01:49 | success in solving it before , but I'm about to | |
| 01:51 | go on with how we would complete this now . | |
| 01:53 | So as you can see , we have formed a | |
| 01:55 | triangles and this is what you may notice with these | |
| 01:57 | particular triangles . Each triangle has a twin which has | |
| 02:01 | the same amount of area in it . For instance | |
| 02:04 | , this triangle has the same base and height as | |
| 02:07 | this triangle base and height . So therefore they have | |
| 02:10 | the same amount of area . In fact , we're | |
| 02:12 | going to label them anna . They both have the | |
| 02:15 | same amount of area . This triangle and this triangle | |
| 02:18 | have the same area also . They have the same | |
| 02:20 | base and they have the same height . So B | |
| 02:23 | and B . Here . this triangle in this triangle | |
| 02:25 | here have the same area , They have the same | |
| 02:27 | base and the same height , C . And C | |
| 02:30 | . And they surprise the same area for these two | |
| 02:33 | triangles here . So we have these identical triangles , | |
| 02:37 | identical , identical pair , be identical pair , C | |
| 02:40 | . And identical pair . So we're going to use | |
| 02:43 | this now to solve our particular our problem . Alright | |
| 02:47 | , at any stage with this , by the way | |
| 02:48 | , paws up and see if you can solve whatever | |
| 02:50 | you got stuck from a particular point . I think | |
| 02:52 | that's also a good thing . What you might notice | |
| 02:54 | is this A plus B plus C plus D . | |
| 02:57 | Is going to be the same as A plus B | |
| 03:00 | plus C plus D . We're going to use this | |
| 03:02 | to solve . So first off , we know am | |
| 03:05 | be here . So A Plus B . What does | |
| 03:08 | that equal ? Well , a plus B is equal | |
| 03:10 | to 24 . We knew that already . We're going | |
| 03:12 | to add that to C plus D . Now what | |
| 03:15 | is C . Plus D . C . Plus these | |
| 03:16 | over here ? This is 48 so C plus D | |
| 03:19 | . Is 48 . So we'd add all these A | |
| 03:21 | plus B plus C plus D . Together . We're | |
| 03:23 | going to get 24 plus 48 which is 72 . | |
| 03:27 | Now let's do it for these diagonals where we have | |
| 03:30 | B plus C . We're not . B plus C | |
| 03:32 | is equal to B plus C is equal to 30 | |
| 03:36 | . And if we were to add it to a | |
| 03:38 | plus D . Here , A plus D . Once | |
| 03:41 | again , you're going to notice we have A . | |
| 03:43 | B . C . D . So all that's accounted | |
| 03:45 | for this would equal 72 also . So 30 plus | |
| 03:50 | what equals 72 or 30 plus 42 equals 72 therefore | |
| 03:56 | a plus D . Is equal to 42 . And | |
| 04:00 | so that's our answer . Our answer is the unknown | |
| 04:02 | section is 42 cm squared . It's a great little | |
| 04:07 | solution , right ? To really , really are deceptively | |
| 04:09 | simple little uh problem to work out . But I | |
| 04:12 | think it's a really , really good one . So | |
| 04:14 | that's how you go through and solve it . If | |
| 04:16 | you like this video , please hit the like button | |
| 04:18 | and comment down below . Tell me how you went | |
| 04:20 | anyway , thank you for watching . And we'll see | |
| 04:21 | you next time . Bye . |
Summarizer
DESCRIPTION:
OVERVIEW:
Math Problem That Went Viral in 2020. Can you solve it? is a free educational video by tecmath.
This page not only allows students and teachers view Math Problem That Went Viral in 2020. Can you solve it? videos but also find engaging Sample Questions, Apps, Pins, Worksheets, Books related to the following topics.
GRADES:
STANDARDS:
