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- 1. BY: KAREEMA DOMINGOSTUDENT NUMBER: 200971653
- 2. WHAT IS A TRIANGLE?Triangles are shapes with three straight sides.
- 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. * 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. 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. 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. 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. The "Many Triangles" problemIn the figure below, the lines BC, AD and FT are parallel.
- 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. 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. a. Right triangleb. Obtusec. Acuted. Obtuse
- 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. A. Angle a = 75° Angle d = 105°B. Obtuse triangle Angle a = 40°
- 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/

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