1 00:00:01,899 --> 00:00:14,820 Triangles. Exercise number one. Equilateral triangle giving the side. With the compass, we are going to transport. 2 00:00:15,279 --> 00:00:35,219 Taking the measurement AB, the whole segment, from A to B, we draw this arc, and from B to A, we draw the same arc. 3 00:00:35,219 --> 00:00:43,450 Doing that, we will get an equilateral triangle. 4 00:00:44,429 --> 00:00:57,380 This point you get here is C, and we just draw the equilateral triangle. 5 00:01:04,530 --> 00:01:09,129 Number two, a scalene triangle given the three sides. 6 00:01:09,129 --> 00:01:25,140 So, side B is going to be 50 millimeters and side A is going to be 65 millimeters. 7 00:01:25,140 --> 00:01:44,959 So, considering that side A is going to be in front of vertex A, we are going to draw here a line from B in any direction. 8 00:01:44,959 --> 00:01:58,370 And on this line, we are going to measure 65, exactly, 65. 9 00:01:59,010 --> 00:02:22,319 So this is going to be a radius. This is an arrowhead and this is 65. And in front of vertex B, we will place the measurement for side B, lowercase. 10 00:02:22,319 --> 00:02:41,939 So here, another line in any direction, we measure here. From A in any direction, 5. Arrowhead, 50. 11 00:02:41,939 --> 00:03:26,229 Once you have both radius, you just have to place the compass on A with 50, till they cross each other, so from A 50 and from B 65, that's it. 12 00:03:26,229 --> 00:03:35,870 So, the two arches cross each other into vertex C. 13 00:03:37,129 --> 00:03:46,050 You name the vertex, capital letter, and connect that vertex with A and B. 14 00:03:47,189 --> 00:03:49,770 Don't forget to name the sides. 15 00:03:49,770 --> 00:04:03,050 so we are going to name this decide a lowercase C lowercase and B lowercase 16 00:04:03,050 --> 00:04:12,900 number three isosceles triangle given baseline and height 85 so first thing 17 00:04:12,900 --> 00:04:26,230 you're going to continue a B to the left or to the right it doesn't really matter 18 00:04:26,230 --> 00:04:42,879 and we are going to draw here a perpendicular line using a square so here we measure we draw 19 00:04:42,879 --> 00:05:01,850 a line over there and on top of the line we measure 85 so 85 that's it now using both 20 00:05:01,850 --> 00:05:20,350 the straight ruler and square we are going to draw a parallel line to AB at 85 millimeters 21 00:05:20,350 --> 00:05:32,009 height so we have in mind that the first ruler you place on AB the other ruler is going to be 22 00:05:32,009 --> 00:05:41,009 our guide so you keep this still and draw the parallel moving the square up 23 00:05:41,009 --> 00:05:53,629 draw the parallel at this height this height we are going to measure like this 24 00:05:53,629 --> 00:06:15,720 arrow arrow and this is the okay 85 you could also write down 85 would be okay 25 00:06:15,720 --> 00:06:22,199 great and now considering that the triangle needs to be a socialist we are 26 00:06:22,199 --> 00:06:32,660 going to draw to place the segment by sector we are going to use the segment 27 00:06:32,660 --> 00:06:45,759 bisector. So you place a compass on A with any radius. So we can draw, for example, this arc 28 00:06:45,759 --> 00:06:57,720 and with the same radius from B. And considering we don't have much space here below, 29 00:06:57,720 --> 00:07:05,480 we are going to do the same but with a smaller radius. So we decrease the radius 30 00:07:05,480 --> 00:07:16,500 and we are going to draw one arc from B and the same arc from A. They cross each 31 00:07:16,500 --> 00:07:23,579 other, you can see here, they cross each other there. So we are drawing, we are 32 00:07:23,579 --> 00:07:30,480 getting here this point at the same distance from A and B and this other 33 00:07:30,480 --> 00:07:39,540 point at the same distance from A and B so connecting both of them you will get 34 00:07:39,540 --> 00:07:47,639 the segment bisector and the segment bisector is really useful to place 35 00:07:47,639 --> 00:08:05,629 vertex C for the isosceles triangle. Now we connect C with B and C with A and we are 36 00:08:05,629 --> 00:08:15,589 going to name this side as lowercase C, lowercase A in front of A and B in front 37 00:08:15,589 --> 00:08:29,860 of B. Right-angled triangle given one leg, catheters, and the hypotenuse. So leg is the 38 00:08:29,860 --> 00:08:40,019 usual name for the catheters in the right-angled triangles. Considering that in right-angled 39 00:08:40,019 --> 00:08:49,580 triangles, always A is going to be the right angle. We place here the square or the verbal 40 00:08:49,580 --> 00:09:02,820 and draw the right angle. We don't know the size yet. So here we use the symbol for right 41 00:09:02,820 --> 00:09:11,139 angle. And in front of A, we will place the hypotenuse. So knowing that the hypotenuse 42 00:09:11,139 --> 00:09:23,879 is going to be 70, we are going to use a radius here from point B. So you place the 43 00:09:23,879 --> 00:09:40,019 ruler you place a zero on B and measure 70 with accuracy we place 70 this is 70 44 00:09:40,019 --> 00:09:56,909 and the arrowhead now with the compass we transport the hypotenuse measurement 45 00:09:56,909 --> 00:10:08,950 this is 70 and we transfer it on the right angle so doing that you will get C 46 00:10:08,950 --> 00:10:26,159 uppercase the vertex this is going to be the hypotenuse this will be P one leg C 47 00:10:26,159 --> 00:10:32,120 E, another leg that is given, and this is A, hypotenuse.