1 00:00:00,600 --> 00:00:07,100 In this video, let's continue analyzing rectangles, we have seen that rectangles are a parallelogram 2 00:00:07,380 --> 00:00:11,370 and each angle in a rectangle is equal to 90 degrees. 3 00:00:11,670 --> 00:00:14,060 All right, now let's see a new property. 4 00:00:14,220 --> 00:00:17,220 The diagonals in a rectangle are equal. 5 00:00:17,560 --> 00:00:19,860 So because a rectangle is a parallelogram. 6 00:00:20,070 --> 00:00:24,180 We know that diagonals bisect each other right now. 7 00:00:24,300 --> 00:00:28,530 In addition to that, in a rectangle, the diagonals are also equal. 8 00:00:29,070 --> 00:00:30,750 Let's take a rectangle over here. 9 00:00:30,760 --> 00:00:32,710 We have a rectangle, ABCDE. 10 00:00:33,600 --> 00:00:34,100 All right. 11 00:00:34,470 --> 00:00:36,330 Now let's construct a diagonal. 12 00:00:36,510 --> 00:00:39,820 This is diagonal easy and let's do the other diagonal. 13 00:00:39,840 --> 00:00:41,100 This is diagonal, Beadie. 14 00:00:41,460 --> 00:00:45,190 Now let's analyze two triangles over here. 15 00:00:45,420 --> 00:00:50,090 Let's take a triangle ADC and triangle B, C, D. 16 00:00:50,460 --> 00:00:50,910 All right. 17 00:00:51,240 --> 00:00:52,470 Which are these triangles? 18 00:00:52,620 --> 00:00:53,760 Is this ADC? 19 00:00:54,000 --> 00:00:59,340 That's this triangle over here and which is Triangle BCT. 20 00:00:59,580 --> 00:01:06,150 That's this triangle over here is just that the orientation is changed in a manner that it looks similar 21 00:01:06,150 --> 00:01:07,440 to this triangle over here. 22 00:01:07,800 --> 00:01:10,280 Now let's try to observe these two triangles. 23 00:01:10,560 --> 00:01:11,960 What is it that we can observe? 24 00:01:12,180 --> 00:01:16,100 We can see that it will be equal to B.C., right. 25 00:01:16,110 --> 00:01:21,120 Because these are opposite sides of the rectangle and they are equal. 26 00:01:21,330 --> 00:01:25,620 Similarly, KDDI will be equal because it's a common sight. 27 00:01:25,830 --> 00:01:26,760 And you can see that. 28 00:01:26,760 --> 00:01:33,570 And the ADC is equal to and BCT because both of these angles are 90 degree angles. 29 00:01:34,110 --> 00:01:35,430 So we have that. 30 00:01:35,430 --> 00:01:40,910 These two sides are equal, these two sides are equal, and this angle is equal to this angle. 31 00:01:41,160 --> 00:01:49,950 Therefore, as far as it is congruence criteria, triangle ADC is congruent to Triangle BCT now. 32 00:01:49,980 --> 00:01:53,040 Therefore AC is equal to beardie, right? 33 00:01:53,190 --> 00:01:57,340 Because they are corresponding parts of two congruent triangles. 34 00:01:57,960 --> 00:02:01,100 Now we have seen that X equals beauty, right? 35 00:02:01,140 --> 00:02:04,590 That means the diagonals in a rectangle are equal. 36 00:02:04,800 --> 00:02:11,520 So in the triangle, in a rectangle, the diagonals are equal and the diagonals bisect each other. 37 00:02:11,670 --> 00:02:15,790 The diagonals bisect each other because the rectangle is a program. 38 00:02:15,990 --> 00:02:16,390 All right. 39 00:02:16,530 --> 00:02:20,850 Now, remember, they don't visit each other at right angles. 40 00:02:20,850 --> 00:02:28,170 That is this angle or this angle or this angle or this angle is not necessarily a 90 degree angle now 41 00:02:28,290 --> 00:02:33,200 because the diagonals beside each other, we know that this is equal to this. 42 00:02:33,200 --> 00:02:39,160 So let's call this as all so all is equal to obey and all it is equal to Orsi. 43 00:02:39,180 --> 00:02:45,780 Right, because diagonals bisect each other in the case of a rectangle, because a rectangle is a parallelogram 44 00:02:45,960 --> 00:02:49,290 now, because the diagnoses are also equal. 45 00:02:49,290 --> 00:02:55,940 In the case of a rectangle, you will see that all A is equal to or is equal to, or C equal to or B 46 00:02:56,190 --> 00:02:58,690 in the case of a rectangle. 47 00:02:58,710 --> 00:03:03,210 So always equal will be is equal to or C is equal to or the.