{"id":732,"date":"2023-09-27T06:56:00","date_gmt":"2023-09-27T06:56:00","guid":{"rendered":"http:\/\/localhost\/ecole9ja\/?p=732"},"modified":"2023-09-27T06:57:13","modified_gmt":"2023-09-27T06:57:13","slug":"week-9-jss-2-first-term-basic-technology-lesson-notes","status":"publish","type":"post","link":"https:\/\/ecolebooks.com\/nigeria\/posts\/week-9-jss-2-first-term-basic-technology-lesson-notes\/","title":{"rendered":"Week 9 – Jss 2 First Term Basic Technology Lesson Notes"},"content":{"rendered":"

week 9; triangles
\ninscribing circle in a triangle
\n“Incircle” redirects here. For incircles of non-triangle polygons, see\u00a0Tangential quadrilateral\u00a0and\u00a0Tangential polygon.
\n<\/em>\"\"
\n\t\tA triangle (black) with incircle (blue),\u00a0incenter\u00a0(I), excircles (orange), excenters (JA<\/sub>,JB<\/sub>,JC<\/sub>), internal\u00a0angle bisectors\u00a0(red) and external angle bisectors (green). The green triangle is the excentral triangle.
\nIn\u00a0geometry, the\u00a0incircle<\/strong>\u00a0or\u00a0inscribed circle<\/strong>\u00a0of a\u00a0triangle\u00a0is the largest\u00a0circle\u00a0contained in the triangle; it touches (is\u00a0tangent\u00a0to) the three sides. The center of the incircle is a\u00a0triangle center\u00a0called the triangle’s\u00a0incenter.[1]<\/sup>
\n\t\t\tAn\u00a0excircle<\/strong>\u00a0or\u00a0escribed circle<\/strong>[2]<\/sup>\u00a0of the triangle is a circle lying outside the triangle, tangent to one of its sides and tangent to the\u00a0extensions of the other two. Every triangle has three distinct excircles, each tangent to one of the triangle’s sides.[3]<\/sup>
\n\t\t\tThe center of the incircle, called the\u00a0incenter<\/strong>, can be found as the intersection of the three\u00a0internal\u00a0angle bisectors.[3][4]<\/sup>\u00a0The center of an excircle is the intersection of the internal bisector of one angle (at vertex\u00a0A<\/em>, for example) and the\u00a0external\u00a0bisectors of the other two. The center of this excircle is called the\u00a0excenter<\/strong>\u00a0relative to the vertex\u00a0A<\/em>, or the\u00a0excenter of\u00a0A<\/em><\/strong>.[3]<\/sup>\u00a0Because the internal bisector of an angle is perpendicular to its external bisector, it follows that the center of the incircle together with the three excircle centers form an\u00a0orthocentric system.[5]:p. 182<\/sup>
\n\t\t\tPolygons with more than three sides do not all have an incircle tangent to all sides; those that do are called\u00a0tangential polygons. See also\u00a0Tangent lines to circles.<\/p>\n

Circumscribed circle
\n<\/h2>\n

From Wikipedia, the free encyclopedia
\nThis article is about circumscribed circles in Geometry. For the use of circumscribed in Biological classification, see\u00a0Circumscription (taxonomy).
\n<\/em>\"\"
\n\t\tCircumscribed circle,\u00a0C<\/em>, and circumcenter,\u00a0O<\/em>, of a\u00a0cyclic polygon<\/em>,\u00a0P<\/em>
\n\t\tIn\u00a0geometry, the\u00a0circumscribed circle<\/strong>\u00a0or\u00a0circumcircle<\/strong>\u00a0of a\u00a0polygon\u00a0is a\u00a0circle\u00a0which passes through all the\u00a0vertices\u00a0of the polygon. The\u00a0center\u00a0of this circle is called the\u00a0circumcenter<\/strong>\u00a0and its radius is called the\u00a0circumradius<\/strong>.
\nA polygon which has a circumscribed circle is called a\u00a0cyclic polygon<\/strong>\u00a0(sometimes a\u00a0concyclic polygon<\/strong>, because the vertices are\u00a0concyclic). All\u00a0regular\u00a0simple polygons, all\u00a0isosceles trapezoids, all\u00a0triangles\u00a0and all\u00a0rectangles\u00a0are cyclic.
\nA related notion is the one of a\u00a0minimum bounding circle, which is the smallest circle that completely contains the polygon within it. Not every polygon has a circumscribed circle, as the vertices of a polygon do not need to all lie on a circle, but every polygon has a unique minimum bounding circle, which may be constructed by a\u00a0linear timealgorithm.[2]<\/sup>\u00a0Even if a polygon has a circumscribed circle, it may not coincide with its minimum bounding circle; for example, for an\u00a0obtuse triangle, the minimum bounding circle has the longest side as diameter and does not pass through the opposite vertex.<\/p>\n

\u00a0Question;<\/p>\n

    \n
  1. Construct triangle [AB] = 60mm\n<\/li>\n
  2. [AB] 70mm\n<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

    week 9; triangles inscribing circle in a triangle “Incircle” redirects here. For incircles of non-triangle…<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1,86],"tags":[],"class_list":["post-732","post","type-post","status-publish","format-standard","hentry","category-posts","category-first-term-jss-2-basic-technology"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/732","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/comments?post=732"}],"version-history":[{"count":1,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/732\/revisions"}],"predecessor-version":[{"id":733,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/posts\/732\/revisions\/733"}],"wp:attachment":[{"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/media?parent=732"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/categories?post=732"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ecolebooks.com\/nigeria\/wp-json\/wp\/v2\/tags?post=732"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}