{"id":18904,"date":"2023-08-21T16:16:52","date_gmt":"2023-08-21T10:46:52","guid":{"rendered":"https:\/\/apboardsolutions.in\/?p=18904"},"modified":"2023-08-22T17:27:11","modified_gmt":"2023-08-22T11:57:11","slug":"ap-7th-class-maths-notes-10th-lesson","status":"publish","type":"post","link":"https:\/\/apboardsolutions.in\/ap-7th-class-maths-notes-10th-lesson\/","title":{"rendered":"AP 7th Class Maths Notes 10th Lesson Construction of Triangles"},"content":{"rendered":"<p>Students can go through <a href=\"https:\/\/apboardsolutions.in\/ap-board-7th-class-maths-notes\/\">AP Board 7th Class Maths\u00a0Notes<\/a> 10th Lesson Construction of Triangles to understand and remember the concept easily.<\/p>\n<h2>AP Board 7th Class Maths Notes 10th Lesson Construction of Triangles<\/h2>\n<p>\u2192 The triangles can be constructed given the following cases :<\/p>\n<ul>\n<li>Three sides of a triangle.<\/li>\n<li>The lengths of any two sides and the measure of the angle between these sides.<\/li>\n<li>The measures of two angles and the lengths of side included between them.<\/li>\n<\/ul>\n<p>\u2192 To Construct a triangle we need at least the measure of one side.<br \/>\nConstruct a triangle ABC given that AB = 4 cm, BC = 6 cm and AC = 5 cm.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-18933\" src=\"https:\/\/apboardsolutions.in\/wp-content\/uploads\/2022\/01\/AP-7th-Class-Maths-Notes-10th-Lesson-Construction-of-Triangles-1.png\" alt=\"AP 7th Class Maths Notes 10th Lesson Construction of Triangles 1\" width=\"275\" height=\"188\" \/><br \/>\nSteps of construction:<\/p>\n<ul>\n<li>Draw a line segment BC = 6 cm.<\/li>\n<li>With B as centre and radius 4 cm, draw an arc.<\/li>\n<li>With C as centre and radius 5 cm, draw another arc, cutting the previous arc atA.<\/li>\n<li>Join BA and CA.<\/li>\n<li>\u2206ABC is formed.<\/li>\n<\/ul>\n<p><img loading=\"lazy\" src=\"https:\/\/apboardsolutions.in\/wp-content\/uploads\/2021\/07\/AP-Board-Solutions.png\" alt=\"AP 7th Class Maths Notes 10th Lesson Construction of Triangles\" width=\"150\" height=\"13\" \/><\/p>\n<p>\u2192 Construction of a triangle given two sides and an included angle.<br \/>\nConstruct triangle PQR given that PQ = 4cm,QR = 6.5cm and \u2220Q = 60\u00b0.<\/p>\n<p>Steps of construction:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-18932\" src=\"https:\/\/apboardsolutions.in\/wp-content\/uploads\/2022\/01\/AP-7th-Class-Maths-Notes-10th-Lesson-Construction-of-Triangles-2.png\" alt=\"AP 7th Class Maths Notes 10th Lesson Construction of Triangles 2\" width=\"248\" height=\"189\" \/><\/p>\n<ul>\n<li>Draw a line segment QR = 6.5 cm.<\/li>\n<li>Using a protractor, draw \u2220PQR = 60\u00b0.<\/li>\n<li>With Q as centre and radius 4 cm, draw an arc, cutting the ray \\(\\overrightarrow{\\mathrm{QX}}\\) at P<\/li>\n<li>Join RP<\/li>\n<li>\u2206PQR is formed.<\/li>\n<\/ul>\n<p>\u2192 Construction of a right angled triangle given a base and hypotenuse.<br \/>\nConstruct a right angled triangle ABC given that AB = 4 cm, \u2220A = 90\u00b0, AC = 3 cm.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-18931\" src=\"https:\/\/apboardsolutions.in\/wp-content\/uploads\/2022\/01\/AP-7th-Class-Maths-Notes-10th-Lesson-Construction-of-Triangles-3.png\" alt=\"AP 7th Class Maths Notes 10th Lesson Construction of Triangles 3\" width=\"249\" height=\"196\" \/><br \/>\nFor making angle 90:<\/p>\n<ul>\n<li>Take A as center and with any radius, draw an arc intersecting AB at O.<\/li>\n<li>Now O as center and same radius as before, draw an arc intersecting previous arc at P.<\/li>\n<li>Now P as center and same radius as before, draw an arc intersecting previous arc at Q.<\/li>\n<\/ul>\n<p>Steps of Construction:<\/p>\n<ul>\n<li>Draw a line segment AB = 4 cm. .<\/li>\n<li>At A, draw an angle of 90\u00b0 and name the line as AX;<\/li>\n<li>With A as centre and radius 3 cm, draw an arc cutting the line AX at C.<\/li>\n<li>Join BC.<\/li>\n<li>\u2206ABC is formed.<\/li>\n<\/ul>\n<p>\u2192 Construction of a triangle given two angles and a side included between them.<br \/>\nConstruct a triangle XYZ in which \u2220X = 30\u00b0, \u2220Y = 100\u00b0 and XY = 6 cm.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-18930\" src=\"https:\/\/apboardsolutions.in\/wp-content\/uploads\/2022\/01\/AP-7th-Class-Maths-Notes-10th-Lesson-Construction-of-Triangles-4.png\" alt=\"AP 7th Class Maths Notes 10th Lesson Construction of Triangles 4\" width=\"286\" height=\"199\" \/><br \/>\nSteps of Construction:<\/p>\n<ul>\n<li>Draw a line segment XY of length 6 cm.<\/li>\n<li>Using a protractor, draw \u2220YXP = 30\u00b0 at point X.<\/li>\n<li>Again using the protractor, draw \u2220XYQ = 100\u00b0 at point Q, intersecting the ray PX at Z.<\/li>\n<li>\u2206XYZ is formed.<\/li>\n<\/ul>\n<p><img loading=\"lazy\" src=\"https:\/\/apboardsolutions.in\/wp-content\/uploads\/2021\/07\/AP-Board-Solutions.png\" alt=\"AP 7th Class Maths Notes 10th Lesson Construction of Triangles\" width=\"150\" height=\"13\" \/><\/p>\n<p>\u2192 Counting of Triangles<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-18929\" src=\"https:\/\/apboardsolutions.in\/wp-content\/uploads\/2022\/01\/AP-7th-Class-Maths-Notes-10th-Lesson-Construction-of-Triangles-5.png\" alt=\"AP 7th Class Maths Notes 10th Lesson Construction of Triangles 5\" width=\"766\" height=\"959\" srcset=\"https:\/\/apboardsolutions.in\/wp-content\/uploads\/2022\/01\/AP-7th-Class-Maths-Notes-10th-Lesson-Construction-of-Triangles-5.png 766w, https:\/\/apboardsolutions.in\/wp-content\/uploads\/2022\/01\/AP-7th-Class-Maths-Notes-10th-Lesson-Construction-of-Triangles-5-240x300.png 240w\" sizes=\"(max-width: 766px) 100vw, 766px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-18928\" src=\"https:\/\/apboardsolutions.in\/wp-content\/uploads\/2022\/01\/AP-7th-Class-Maths-Notes-10th-Lesson-Construction-of-Triangles-6.png\" alt=\"AP 7th Class Maths Notes 10th Lesson Construction of Triangles 6\" width=\"767\" height=\"1068\" srcset=\"https:\/\/apboardsolutions.in\/wp-content\/uploads\/2022\/01\/AP-7th-Class-Maths-Notes-10th-Lesson-Construction-of-Triangles-6.png 767w, https:\/\/apboardsolutions.in\/wp-content\/uploads\/2022\/01\/AP-7th-Class-Maths-Notes-10th-Lesson-Construction-of-Triangles-6-215x300.png 215w, https:\/\/apboardsolutions.in\/wp-content\/uploads\/2022\/01\/AP-7th-Class-Maths-Notes-10th-Lesson-Construction-of-Triangles-6-735x1024.png 735w\" sizes=\"(max-width: 767px) 100vw, 767px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-18927\" src=\"https:\/\/apboardsolutions.in\/wp-content\/uploads\/2022\/01\/AP-7th-Class-Maths-Notes-10th-Lesson-Construction-of-Triangles-7.png\" alt=\"AP 7th Class Maths Notes 10th Lesson Construction of Triangles 7\" width=\"777\" height=\"918\" srcset=\"https:\/\/apboardsolutions.in\/wp-content\/uploads\/2022\/01\/AP-7th-Class-Maths-Notes-10th-Lesson-Construction-of-Triangles-7.png 777w, https:\/\/apboardsolutions.in\/wp-content\/uploads\/2022\/01\/AP-7th-Class-Maths-Notes-10th-Lesson-Construction-of-Triangles-7-254x300.png 254w, https:\/\/apboardsolutions.in\/wp-content\/uploads\/2022\/01\/AP-7th-Class-Maths-Notes-10th-Lesson-Construction-of-Triangles-7-768x907.png 768w\" sizes=\"(max-width: 777px) 100vw, 777px\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Students can go through AP Board 7th Class Maths\u00a0Notes 10th Lesson Construction of Triangles to understand and remember the concept easily. AP Board 7th Class Maths Notes 10th Lesson Construction of Triangles \u2192 The triangles can be constructed given the following cases : Three sides of a triangle. The lengths of any two sides and &#8230; <a title=\"AP 7th Class Maths Notes 10th Lesson Construction of Triangles\" class=\"read-more\" href=\"https:\/\/apboardsolutions.in\/ap-7th-class-maths-notes-10th-lesson\/\" aria-label=\"More on AP 7th Class Maths Notes 10th Lesson Construction of Triangles\">Read more<\/a><\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[8],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/posts\/18904"}],"collection":[{"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/comments?post=18904"}],"version-history":[{"count":5,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/posts\/18904\/revisions"}],"predecessor-version":[{"id":18938,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/posts\/18904\/revisions\/18938"}],"wp:attachment":[{"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/media?parent=18904"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/categories?post=18904"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/tags?post=18904"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}