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Geometry and Measurement: TriangleTutorial

Geometry and Measurement: TriangleTutorial. Before you begin you will want to have paper and pencil for notes and a straight edge (ruler). Click enter to go on. triangle. A geometric figure having three sides and three angles. Click here to go back. Click enter to go on. Classifications.

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Geometry and Measurement: TriangleTutorial

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  1. Geometry and Measurement: TriangleTutorial Before you begin you will want to have paper and pencil for notes and a straight edge (ruler). Click enter to go on

  2. triangle • A geometric figure having three sides and three angles. Click here to go back Click enter to go on

  3. Classifications Click enter to go on Click here to go back

  4. Classifications By Sides • Scalene-all sides are of different lengths (no congruent sides) • Isosceles-two sides are the same length (two sides congruent) • Equilateral-all sides the same length (all sides congruent) Click enter to go on Click here to go back

  5. Draw a scalene triangle. Click enter when you are done drawing Click here to go back

  6. Here is an example of a scalene triangle. 8cm 5cm 11cm No congruent sides Click enter to go on Click here to go back

  7. Draw an isosceles triangle. Click enter when you are done drawing Click here to go back

  8. Here is an example of an isosceles triangle. Two congruent sides 6in 6in 4in Click enter to go on Click here to go back

  9. Draw an equilateral triangle. Click enter when you are done drawing Click here to go back

  10. Here is an example of an equilateral triangle. All sides congruent 14 ft 14 ft 14 ft Click here to go back Click enter to go on

  11. Classification by angles. • Acute - a triangle having all angles acute (smaller than 90º) • Right - a triangle with one right angle (90º) • Obtuse - a triangle with one obtuse angle (greater than 90º and smaller than180º) Click enter to go on Click here to go back

  12. Draw an acute triangle. Click enter when you are done drawing Click here to go back

  13. 70 56 54 Here is an example of an acute triangle. º All angles are less than 90 º º º Click enter to go on Click here to go back

  14. Draw a right triangle. Click enter when you are done drawing Click here to go back

  15. Here is an example of a right triangle. º The “box” in the corner means 90 . One right angle makes it a right triangle. Click enter to go on Click here to go back

  16. Draw an obtuse triangle. Click enter when you are done drawing Click here to go back

  17. 100 50 30 Here is an example of an obtuse triangle. º º º Click enter to go on Click here to go back

  18. 100 70 50 30 56 54 Triangle Fact • The sum of the angles in a triangle must equal 180 • Add the angles in these two triangles…what do you get? º º º º º º Click enter to go on Click here to go back

  19. 100 70 50 30 56 54 Triangle Fact º 100 50 + 30 180 º º º 74 56 +54 180 º º Click enter to go on Click here to go back

  20. 180 -40 140 140 -45 95º Find The Missing Angle ? You can find the measure of a missing angle in a triangle by taking 180º and subtracting the two given angles. 40º 45º 40 +45 85 OR 180 - 85 95º Click enter to go on Click here to go back

  21. Find The Missing Angle 1. Two angles in a triangle are 35º and 65º. Find the third side. 2. Two angles in a triangle are 15º and 100º. Find the third side. 3. Two angles in a triangle are 60º and 60º. Find the third side. Click enter to go on Click here to go back

  22. Missing Angle Answers 1. 180 - 65 - 35 = 80º 2. 180 - 15 - 100 = 65º 3. 180 - 60 - 60 = 60º Awesome Click here to go back Click enter to go on

  23. Perimeter The perimeter of any geometric figure can be found by adding the lengths of the sides. 13m 14m +24m 51m 13m 14m 24m Click enter to go on Click here to go back

  24. 2. 13.2in 15.4in 10.7in 1. 15ft 20ft 23ft Find the perimeter of each triangle below Click enter to go on Click here to go back

  25. 2. 13.2in 15.4in 10.7in 1. 15ft 20ft 23ft Perimeter Answers Awesome 15ft + 20ft + 23ft = 68ft 13.2in + 15.4in + 10.7in = 39.3in Click enter to go on Click here to go back

  26. Area Finding the area of a triangle can be a little tricky. You must know two pieces of information. You must know the height of the triangle and you must know the length of the base. Click enter to go on Click here to go back

  27. Base and Height height height base base The height and base ALWAYS meet at a right angle. Click enter to go on Click here to go back

  28. Area Formula The formula for the area of a triangle is ½ base X height. This is the same as base X height ÷ 2 Click enter to go on Click here to go back

  29. Area Example 6km 12km 5km 20km Base = 20km Height = 5km Area = (½)(20)(5) = (10)(5) = 50 km2 Remember, all area answers must have an exponent of 2 on the label. Click enter to go on Click here to go back

  30. Find the area of the triangle below. 28yd 13yd 15yd 21yd Click enter to go on Click here to go back

  31. Area Answer Base = 28yd 28yd Height = 13yd Area = (½)(28)(13) 13yd = (14)(13) 15yd 21yd Awesome = 182yd2 Click enter to go on Click here to go back

  32. End Tutorial Click here to restart tutorial

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