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Class 9 Maths Chapter 10 Exercise 10.2 | Ex 10.2 Class 9 | 10.2 Maths Class 9 | NBF |

Title: Class 9 exercise 10.2 NBF Maths Ex 10.2 national book foundation maths | How construct a triangle #taleem @Taleemotarbiatkiduniya #maths #mathematics #Newsecondarymathematicsbook3 #geometry #taleemoterbeatkidunya #taleemotarbiatkiduniya #exercise #taleem #past_paper #past_pasper_solution #newsecondarymathematicsbook2 #apspastpaper #arclength #newsyllabusmathematics Question No 3 Part a Steps of construction I. Draw XY = 4.5 cm. II. With centre X and Y draw an arc of radius 4.8cm and 5cm respectively, intersecting each other at Z III. Join XY and YZ to complete the triangle Δ XYZ. IV. Draw perpendicular / right bisectors of XY and YZ meeting each other at the point O. V. Now draw the perpendicular bisector of third side ZX. VI. We observe that it also passes through O, the point of intersection of first two perpendicular bisectors. VII. Hence the three perpendicular/right bisectors of the sides of Δ XYZ. are concurrent at O. Question No 3 Part b Steps of construction I. Draw PQ = 4cm II. Construct m∠Q = 900 at point Q. III. With centre Q draw an arc of radius 5.8cm IV. With centre P draw an arc which meets the other arc at point R. V. Join PR and QR to complete the triangle Δ PQR. VI. Draw perpendicular / right bisectors of PQ and QR meeting each other at the point O. VII. Now draw the perpendicular bisector of third side PR. VIII. We observe that it also passes through O, the point of intersection of first two perpendicular bisectors. IX. Hence the three perpendicular/right bisectors of the sides of Δ PQR.are concurrent at O. Question No 3 Part C Steps of construction I. Draw DE = 5cm II. Construct m∠E = 1200 at point E. III. With centre E draw an arc of radius 4cm IV. With centre D draw an arc which meets the other arc at point F. V. Join DF and EF to complete the triangle Δ DEF. VI. Draw perpendicular / right bisectors of DE and EF meeting each other at the point O. VII. Now draw the perpendicular bisector of third side DF. VIII. We observe that it also passes through O, the point of intersection of first two perpendicular bisectors. IX. Hence the three perpendicular/right bisectors of the sides of Δ DEF.are concurrent at O. Question No 4 Part a Steps of construction I. Draw AB = 5.8cm II. Construct m∠B = 450 at point B. III. With centre B draw an arc of radius 5cm IV. With centre A draw an arc which meets the other arc at point C. V. Join AC and BC to complete the triangle Δ ABC. VI. Median from vertex A: The median from vertex A goes to the midpoint Y of side BC. VII. Median from vertex B: The median from vertex B goes to the midpoint Y of side AC. VIII. Median from vertex C: The median from vertex C goes to the midpoint Y of side AB. Ix The centroid O of Δ ABC. is the point where the three medians intersect each other. X By the centroid theorem; the medians intersect at point that divides each median into two segments with a rtio of 2:1, with the largersegment being on the vertex side. Xi Thus, the medians of Δ ABC. Are concurrent at the centroid O. Question No 4 Part b Steps of construction I. Draw DE = 6cm II. Construct m∠EDF = 900 at point D. III. Construct m∠DEF = 300 at point E. IV. Line segments of both the angles will meet each other at point F. V. Join DF and EF to complete the triangle Δ DEF. VI. Median from vertex D: The median from vertex D goes to the midpoint Y of side EF. VII. Median from vertex E: The median from vertex E goes to the midpoint of side DF. VIII. Median from vertex F: The median from vertex F goes to the midpoint Y of side DE. Ix The centroid O of Δ DEF. is the point where the three medians intersect each other. X By the centroid theorem; the medians intersect at point that divides each median into two segments with a rtio of 2:1, with the larger segment being on the vertex side. Xi Thus, the medians of Δ DEF. Are concurrent at the centroid O. About This lecture: Chapter: 10 Practical Geometry Exercise: 10.2 Question: 3 & 4 Concept: Construction of angles and triangle Class/Grade 9th Book: Class 9th Math National Book Foundation Publishers: NBF For more lecture:    / @taleemotarbiatkiduniya   Your searches: Grade 9 new book how to find angle bisector? how to draw altitude? right bisector how to construct a triangle? Federal Board grade 9th new syllabus Taleem o tarbiat ki dunya class 9 New model textbook of mathematics grade 9 Grade 9 exercise 10.2 Chapter 10 exercise 10.2 ch 10 ex 10.2 taleem o terbeat ki dunya class 9 Grade 9 maths exercise 10.2 taleem o tarbiat ki duniya National Book Foundation class 9 ex 10.2 Maths exercise 10.2 class 9 Exercise 10.2 grade 9 Model textbook of mathematics exercise 10.2 National Book Foundation grade 9 exercise 10.2 Grade 9 chapter 10 Geometry of straight line Grade 9 geometry and polygon exercise 10.2 Grade 9 new syllabus trigonometry For more lecture:    / @taleemotarbiatkiduniya