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Area of a Triangle

Area of a Triangle . What is a triangle?. All t riangles are related to rectangles or parallelograms :. You can draw a diagonal line in any rectangle or parallelogram. Each rectangle or parallelogram is made up of two triangles!. What is the Area of a Triangle?.

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Area of a Triangle

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  1. Area of a Triangle

  2. What is a triangle? All trianglesare related to rectangles or parallelograms: You can draw a diagonal line in any rectangle or parallelogram. Eachrectangle or parallelogram is made up of two triangles!

  3. What is theAreaof a Triangle? • Theareaformula for a rectangle or a parallelogram is: A = bh. • Each triangle is ½of a rectangle or a parallelogram. • There are twotriangles in these shapes!

  4. The Formula! • Remember the area formula for a rectangle or parallelogram is A=bh and that each rectangle and parallelogram has TWOtriangles in their shape. • Using this information to develop your own formula.

  5. Can I have a drum roll please?! Without further ado your formula should look something like… • Theareaformula for a triangleis • It can also be written as

  6. Finding the Area of a Triangle Determine which measurement is theheight: Theheightis outside the triangle The height is inside the triangle The height is a sideof the triangle

  7. Finding the Area of a Triangle • Pay close attention to the pictures below. You may notice that some of the triangles have been rotatedorhidden in pictures. • Findbaseandheightin these examples: base = 10 cm height = 9 cm base = 12.1 m height = 6.4 m base = 7 yd height = 4 yd

  8. Applying the Area Formula • Write the area formula exactly as it appears on the FCAT Reference Sheet. • Rewrite the area formula substituting the values that you know. • Solve one step at a time rewriting after each step.

  9. Applying the Area Formula Example: Find the area of the triangle shown below. A = ½ bh A = ½ × 15.6 × 11.25 A = ½ × 175.5 A = 87.75 square meters

  10. Rally Coach • Students sit in pairs. • First Problem: Partner A solves; Partner B coaches and praises. • Next Problem: Partner B solves; Partner A coaches and praises. • Continue solving problems.

  11. Finding the Area of a Triangle With your shoulder partner find the area of the following triangles using Rally Coach. 1. 2. 3. 4.

  12. Finding the Area of a Triangle With your shoulder partner find the area of the following triangles using Rally Coach. 1. Answer: 90 cm2 2. Answer: 425.25 mm2 Answer: 14 yd2 3. Answer: 45 cm2 4.

  13. Check your Understanding Find the area of the following two triangles independently. 5 cm. 6 ft. 7 cm. 3 ft. 8 km. 4 mm. 9 mm. 11 km.

  14. Check your Understanding Find the area of the following two triangles independently. 18 mm2 44 km2 • 9 ft2 • 17.5 cm2

  15. Check your Understanding

  16. Finding the Area of a Triangle From where and how did we derive the area of a triangle formula?

  17. Exit Question Independently find the area of the following triangle on a separate slip of paper. This will act as your exit ticket.

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