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Mathematics 20 Online
OpenStudy (gabbyalicorn):

What is the area of the regular hexagon with a side length of 3 cm and an apothem of 2.6 cm? A. 15.6 cm2 B. 23.4 cm2 C. 46.8 cm2 D. 31.2 cm2

OpenStudy (gabbyalicorn):

|dw:1433313491080:dw| @jim_thompson5910 @triciaal

jimthompson5910 (jim_thompson5910):

break the hexagon into triangles like this |dw:1433313792532:dw|

OpenStudy (gabbyalicorn):

√ k got it

jimthompson5910 (jim_thompson5910):

there are 6 triangles that are all the same size/shape each triangle has base 3, height 2.6

OpenStudy (gabbyalicorn):

so each is 2.6?

jimthompson5910 (jim_thompson5910):

what is the area of one triangle?

OpenStudy (gabbyalicorn):

2.6?

jimthompson5910 (jim_thompson5910):

area of triangle = (base*height)/2

OpenStudy (gabbyalicorn):

3.9

jimthompson5910 (jim_thompson5910):

yep that's just one triangle multiply by 6 to get all 6 triangles put together

OpenStudy (gabbyalicorn):

23.4

jimthompson5910 (jim_thompson5910):

yep

OpenStudy (gabbyalicorn):

ty!

jimthompson5910 (jim_thompson5910):

np

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