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OpenStudy (tylermckinney16):
Questions here.
OpenStudy (welshfella):
that is a tetrahedron which has 4 triangular faces.
How many edges and vertices has it got?
OpenStudy (welshfella):
You cant see eall the edges and vertices - but use your imagination .
OpenStudy (welshfella):
You can see 5 edges right?
OpenStudy (tylermckinney16):
Yeah
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OpenStudy (welshfella):
how many do you think are hidden ?
remembering each face is a triangle
OpenStudy (tylermckinney16):
hmmm 5?
OpenStudy (welshfella):
another 5!! I dont think so..
OpenStudy (welshfella):
the base has 3 - so how mant edges on the sides?
OpenStudy (welshfella):
|dw:1457810438736:dw|
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OpenStudy (welshfella):
drawing it should help
OpenStudy (tylermckinney16):
4?
OpenStudy (tylermckinney16):
@welshfella
OpenStudy (tylermckinney16):
@Directrix
Directrix (directrix):
Look at this solid.
How many vertices?
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Directrix (directrix):
@TylerMckinney16
OpenStudy (tylermckinney16):
6?
OpenStudy (tylermckinney16):
@Directrix
Directrix (directrix):
Count again.
OpenStudy (tylermckinney16):
ok
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OpenStudy (tylermckinney16):
Ohhh 4
OpenStudy (tylermckinney16):
@Directrix
Directrix (directrix):
Vertices: 4 Yes
Directrix (directrix):
From welshfella above:
4 faces
5 edges
4 vertices -> your count
Directrix (directrix):
Show the Euler's Formula holds true for this polyhedron.
F + V − E = 2
Substitute in for F, V and E using the values from above.
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OpenStudy (tylermckinney16):
4+4-5?
Directrix (directrix):
F + V − E = 2
4 + 4 - 6 = 2
2 = 2
The tetrahedron has 6 edges. I should have checked rather than picking up the 5 earlier in the post. 5 is not the number of edges. It is 6 edges.