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Math 306 Summer 2010 Agenda

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### Agenda

1. 1. Welcome to Math 306Summer 2010 Instructor: Mr. C. Theodorakakos (Mr. “T”)Math Rocks! <br />
2. 2. Agenda<br />Course outline<br />Math 306_CourseSyllabus_Summer.docx<br />Supplies required<br />Pencils<br />Eraser<br />Paper (50 sheets) or 3 ring notebook<br />Ruler<br />Scientific calculator<br />Rules<br />Survey students who can bring Math 3000 workbook<br />Construct name tag with paper<br />
3. 3. Examples<br />A ladder 6.5 m in length leans against a windowsill. <br />The foot of the ladder is 2.5 m from the house.<br />Find the height of the windowsill from the ground.<br /> Answer: The height is 6 m<br />
4. 4. What is the length of segment AB in the figure below?<br />Answer: m AB 5.83 cm  5.8 cm<br /> <br />
5. 5. In the triangle shown below, what is the measure of segment AD?<br />The measure of segment AD is ____________________.<br /> <br />Answer: <br />Measure of BD = 28<br />Measure of AD = 51.31 (accept 51.00 or 51.3 or 51.31)<br />
6. 6. Secondary 3 students in the Woodworking course constructed a kite made up of 2 triangles. One is an equilateral triangle whose side measures 25 cm. The other is an isosceles triangle whose congruent sides measure 40 cm. These dimensions are illustrated in the diagram below:<br />What is the total area of the kite?<br />Round your answer to the nearest hundredth square cm.<br />Show all your work.<br />
7. 7. Example of an appropriate solution<br /> <br />Area of equilateral triangle<br /> <br />Calculate height h1<br />h121.65 <br />since an axis of symmetry of an isosceles or equilateral triangle contains a height <br />and a median<br />A1= (bxh)/2<br />A1(25x21.65)/2<br />A1 270.63<br /> <br /> <br />
8. 8. Area of isosceles triangle<br /> <br />Calculate height h2<br />h2 38<br />since an axis of symmetry of an isosceles<br />or equilateral triangle contains a height<br />and a median<br />A2= (25x38)/2<br />A2 475<br /> <br />Area of kite<br />A 270.63 + 475<br />A 745.63<br /> <br />Answer: The area of the kite is 745.63 cm2.<br />
9. 9.