{"id":11029,"date":"2021-04-20T15:21:15","date_gmt":"2021-04-20T09:51:15","guid":{"rendered":"https:\/\/apboardsolutions.guru\/?p=11029"},"modified":"2021-09-15T11:33:33","modified_gmt":"2021-09-15T06:03:33","slug":"ap-board-7th-class-maths-solutions-chapter-9-intext-questions","status":"publish","type":"post","link":"https:\/\/apboardsolutions.guru\/ap-board-7th-class-maths-solutions-chapter-9-intext-questions\/","title":{"rendered":"AP Board 7th Class Maths Solutions Chapter 9 Construction of Triangles InText Questions"},"content":{"rendered":"

AP State Syllabus\u00a0AP Board 7th Class Maths Solutions<\/a> Chapter 9 Construction of Triangles InText Questions and Answers.<\/p>\n

AP State Syllabus 7th Class Maths Solutions 9th Lesson Construction of Triangles InText Questions<\/h2>\n

\"AP<\/p>\n

Try This<\/span><\/p>\n

Question 1.
\nConstruct a triangle with the same measurements given in above example taking PQ as base. Are the triangles congruent ? (Page No. 183)
\nSolution:
\nPQ = 4 cm, QR = 5 cm. RP = 7cm.
\n\"AP
\n\"AP
\nStep -1 : Draw a rough sketch of the triangle and label it with the given measurements.
\nStep – 2 : Draw a line segment PQ of length 4 cm.
\nStep – 3 : With centre P, drawn an arc of radius 7 cm.
\nStep – 4 : Since R is at a distance of
\n5 cm from Q. draw another arc from Q with radius 5 cm such that it intersects first arc at R.
\nStep – 5 : Join P, R and Q, R. The required APQR is constructed.
\nThe two triangles are congruent by Side – Side – Side (SSS) criterion for congruence.<\/p>\n

\"AP<\/p>\n

Question 2.
\nConstruct a \u0394PET, PE = 4.5 cm, ET = 5.4 cm and TP = 6.5 cm in your notebook. Now construct \u0394ABC, AB = 5.4 cm, BC = 4.5 cm and CA = 6.5 cm on a piece of paper. Cut it out and place it on the figure you have constructed in your notebook. Are the triangles congruent ? Write your answer using mathematical notation. (Page No. 183)
\nSolution:
\n\u0394PET, PE = 4.5 cm, ET = 5.4 cm, TP = 6.5 cm.
\nStep – 1 : Draw a rough sketch of the triangle and label it with the given measurements.
\nStep – 2 : Draw a line segment PE of length 4.5 cm.
\nStep – 3 : With centre P, draw an arc of radius 6.5 cm.
\nStep – 4 : Draw another arc from E with radius – 5. 4 cm such that it intersets first arc at T.
\nStep – 5 : Join P, T and E, T. The required APET is constructed.
\n\"AP
\n\"AP<\/p>\n

\u0394ABC, AB = 5.4 cm, BC = 4.5 cm and CA = 6.5
\nStep – 1 : Draw a rough sketch of the
\ntriangle and label it with the given measurements.
\nStep – 2 : Draw a line segment AB of length 5.4 cm.
\nStep – 3 : With centre A, draw an arc of radius 6.5 cm.
\nStep – 4 : Draw another arc from B
\nwith radius 4.5 cm such that it intersects first arc at C.
\nStep – 5 : Join A, C and B,C. The required AABC is constructed.
\nIf we place the \u0394ABC on \u0394PET, the triangles are congruent. This is because,
\nAB = TE
\nAC = PT
\nBC = PE
\n\u2234 \u0394ABC \u2245 \u0394TEP (SSS criteria)
\n\"AP
\n\"AP<\/p>\n

\"AP<\/p>\n

Question 3.
\nSushanth prepared a problem. Construct \u0394XYZ in which XY = 2 cm, YZ = 8 cm and XZ = 4 cm. He also draw the , rough sketch as shown in figure (i).
\n\"AP
\nReading the problem, Srija told Sushanth that it would not be possible to draw a triangle with the given measurements. However, Sushanth started to draw the diagram as shown in figure (ii).Check whether Sushanth can draw the triangle. If not, why ?
\nDiscuss with your firends. What property of triangles supports Srija’s idea ? (Page No. 184)
\n\"AP
\nSolutuion:
\nXY = 2 cm, YZ = 8 cm, XZ = 4 cm
\nSushanth can not draw the triangle. This is because, in a triangle, the sum of any two sides of a triangle is greater than its third side. But in this case, sum of the two sides is not greater than the third side.
\nThat is XY + XZ \u226f YZ
\n2 + 4 \u226f YZ
\n\"AP
\n\"AP
\nSo, it is not possible to construct a triangle with the given measurements.<\/p>\n

\"AP<\/p>\n

Question 4.
\nConstruct a triangle with angles 105\u00b0 and 95\u00b0 and a side of length of your choice. Could you construct the triangle ? Discuss and justify.\u00a0 (Page No. 187)
\nSolution:
\nLet PQ = 5 cm, \u2220P = 105\u00b0, \u2220Q = 95\u00b0
\n\"AP
\nWe cannot construct a triangle with these measurements. This is because, the sum of three angles in a triangle is 180\u00b0. But the sum of the given two angles itself is greater than 180\u00b0.
\nThat is 105\u00b0 + 95\u00b0 = 200\u00b0 > 180\u00b0
\nSo, it is not possible to construct a triangle with angles 105\u00b0 and 95\u00b0.<\/p>\n

\"AP<\/p>\n","protected":false},"excerpt":{"rendered":"

AP State Syllabus\u00a0AP Board 7th Class Maths Solutions Chapter 9 Construction of Triangles InText Questions and Answers. AP State Syllabus 7th Class Maths Solutions 9th Lesson Construction of Triangles InText Questions Try This Question 1. Construct a triangle with the same measurements given in above example taking PQ as base. Are the triangles congruent ? …<\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[9],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/posts\/11029"}],"collection":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/comments?post=11029"}],"version-history":[{"count":0,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/posts\/11029\/revisions"}],"wp:attachment":[{"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/media?parent=11029"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/categories?post=11029"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/apboardsolutions.guru\/wp-json\/wp\/v2\/tags?post=11029"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}