Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN: 9780134217437
Author: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher: PEARSON
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Need help question 19
Spring 2021 See MO19-24 Canvas Assignment for instructions and other relevant information. 19. Mastery Objective 19: Explain the area of a right triangle in multiple ways. Without using the fact that the area of a triangle is ļbh, but instead only using the area of a rectangle Ix w, explain why the area of the triangle below is 20 square units in THREE different ways, using moving and additivity principles. (a) Method 1: (b) Method 2: (c) Method 2: b) More advanced mehe 9 Aprimitive way to detenmne the area is to mave small Pieces and count me total numb-er ofszuart movirg a big chuck of a rectory tei einer by by em The tring Area of rectoargle= \xW. w As we Can see the triangle covers half of rectangIr So area of rigle will be =5 Ixw. Hore in rectargle I -1ounits So area of rectargle =1×W= 10X4=4ounit w =4 unit area of trirg le =} x1xw 1X= 20 unit? bllets select a box of width I ang ength of l. tr 80 that we and 1o boxes in y direcrion. So it will become a rectargle of 1o unit in y direcrion and 4 unit in to direction, will select 4 boxes in' be direchion Area corered by the triargle= xaren of rectorgles
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Transcribed Image Text:Spring 2021 See MO19-24 Canvas Assignment for instructions and other relevant information. 19. Mastery Objective 19: Explain the area of a right triangle in multiple ways. Without using the fact that the area of a triangle is ļbh, but instead only using the area of a rectangle Ix w, explain why the area of the triangle below is 20 square units in THREE different ways, using moving and additivity principles. (a) Method 1: (b) Method 2: (c) Method 2: b) More advanced mehe 9 Aprimitive way to detenmne the area is to mave small Pieces and count me total numb-er ofszuart movirg a big chuck of a rectory tei einer by by em The tring Area of rectoargle= \xW. w As we Can see the triangle covers half of rectangIr So area of rigle will be =5 Ixw. Hore in rectargle I -1ounits So area of rectargle =1×W= 10X4=4ounit w =4 unit area of trirg le =} x1xw 1X= 20 unit? bllets select a box of width I ang ength of l. tr 80 that we and 1o boxes in y direcrion. So it will become a rectargle of 1o unit in y direcrion and 4 unit in to direction, will select 4 boxes in' be direchion Area corered by the triargle= xaren of rectorgles
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