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# Triangle's Lesson

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### Triangle's Lesson

1. 1. BY: KAREEMA DOMINGOSTUDENT NUMBER: 200971653
2. 2. WHAT IS A TRIANGLE?Triangles are shapes with three straight sides.
3. 3. * An EQUILATERAL TRIANGLE is a triangle with all three sides of equal length. The three angles are also all equal.* An ISOSCELES TRIANGLE is a triangle with two sides of equal length. The two angles opposite the equal sides are also equal to one another.* A RIGHT-ANGLED TRIANGLE is a triangle with one angle that is a right angle.
4. 4. * A SCALENE TRIANGLE is a triangle with all the sides of different lengths. The angles are also all different.* An ACUTE-ANGLED triangle is a triangle with all the sides acute, i.e. less than 90°.* An OBTUSE-ANGLED triangle is a triangle with one obtuse angle, i.e. more than 90°.
5. 5. It is a general convention that equalsides are marked by drawing a shortline, /, through them , and a rightangle is marked by a square betweenthe arms of the angle . If sidesand angles are not marked, do notassume that they are equal, justbecause they look equal!
6. 6. The interior angles of a triangle always add up to 180°. Because of this, only one of the angles can be 90° or more. In a right triangle, since one angle is always 90°, the other two must always add up to 90°.(i.e. V1 + V2 + V3 = 180°) The sum of the two opposite angles in a triangle is 50° equal to the outside angle. Therefore, angles a a + b = d and, angle b = d (110°) – a (50°) = 60°. As a result, c = 80°. Reason, the interior angles of a triangle always adds up to 180°.b c 110° d
7. 7. a. What kind of triangle is shown in each of the diagrams ? Pare the options below with the letter of the triangle:b. Acute Obtusec. Right triangle Scalene Isoscelesd. Equilateral
8. 8. The "Many Triangles" problemIn the figure below, the lines BC, AD and FT are parallel.
9. 9. Problem 1How many right triangles are there?(If you are assuming the angle abk, and the threeothers like it, is 90° you will need to prove it first).Problem 2How many isosceles triangles are there?Problem 3How many triangles altogether?
10. 10. A. In the shape abcd, the angles d b = 30°and c = 75°. Calculate a angles a and d. Give reasons 30° for your answer. b 75° c B. Identify the type of triangle a and calculate angle a.35° 105°
11. 11. a. Right triangleb. Obtusec. Acuted. Obtuse
12. 12. Number of right triangles: 20abj, afj, dcp, dtp, jbk, jfk, gmk, hmk, gmn, hmn,cpn, tpn, bfh, gfh, gth, cth, fbg, hbg, hgc, tgcNumber of isosceles triangles: 14abf, dct, bkf, gkh, gnh, cnt, bkg, fkh, gnc, hntbhc, fkt, kgn, khnTotal number of triangles : 38abj, afj, bjk, fjk, gkm, hkm, gnm, hnm, cnp, tnp,cpd, tpd, bkg, fkh, gnc, hnt, baf, cdt, abk, afk, dcn,dtn, bkf, gkh, gnh, cnt, bfh, gfh, fbg, hbg, ght, cht,hgc, tcg, fgt, bhc, gkn, hkn
13. 13. A. Angle a = 75° Angle d = 105°B. Obtuse triangle Angle a = 40°
14. 14. AllKidsNetwork.com. (2006). AllKidsNetwork.com. Retrieved April 30, 2012, from allkidsnetwork.com/crafts/shapes/triangle-shape-monster.asp: http://www.allkidsnetwork.com/crafts/shapes/triangle-shape-monster.aspBattista, A. (2008). Irenebrination: Notes on Architecture, Art, Fashion and Style. Retrieved April 29, 2012, from Irenebrination: Notes on Architecture, Art, Fashion and Style: http://www.irenebrination.typepad.com/irenebrination_notes_on_a/2010/07/impossible-cities- wearable-triangular-architectures.htmlBrachhold, A. (2011, October 19th). Types of Triangles. Retrieved April 30, 2012, from Types of Triangles: http://typesoftriangles.org/Connection, R. (2003). Building Strong Shapes with Triangles. Retrieved April 29, 2012, from Rogers ConnectionTM Magnetic Construction Toy: http://www.rogersconnection.com/triangles/Godin, S., Casey, M., Brown, C., Hildebrand, G., Brown, J., Collegeman, A., et al. (2005). Educational Toys For Infants And Babies. Retrieved April 30th, 2012, from Squidoo: http://www.squidoo.com/educational-toys-for-infants-and-babiesJauhari, N. (2010, July 31). Inehome. Retrieved April 29, 2012, from http://inehome.com/triangle-tables-white-minimalist-design-table/Jurvetson, S. (2008, July 8th). OpenLearn LabSpace. Retrieved 04 29, 2012, from OpenLearn LabSpace: http://labspace.open.ac.uk/mod/resource/view.php?id=420267Miller, J. F. (2000, July). Custom Celtic Design Wedding Rings Page. Retrieved April 30th, 2012, from Tradeshop Incorporated: http://www.tradeshop.com/master/custom2.htmlPage, J. D. (2009). Math Open Reference. Retrieved 04 29, 2012, from The Math Open Reference Project: http://www.mathopenref.com/tocs/anglestoc.htmlPhillip, G. (2006, September 18th). Missed Contentions . Retrieved April 29th, 2012, from Missed Contentions : http://blog.lib.umn.edu/phil0459/archtecture/