Mathematics
8 Online
OpenStudy (highschoolmom2010):
find the volume of the triangular prism.
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OpenStudy (highschoolmom2010):
OpenStudy (solomonzelman):
Surface Area?
OpenStudy (highschoolmom2010):
i guess
OpenStudy (solomonzelman):
OK,
find each face, can you do that?
But I don't have enough information, unless the triangle in the prism is a 45-45-90 triangle, can I assume that?
OpenStudy (perl):
no they are asking for volume
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OpenStudy (solomonzelman):
it says "Area" though.
OpenStudy (perl):
i got volume , it says volume in the link
OpenStudy (solomonzelman):
I see
OpenStudy (perl):
in her attachment
OpenStudy (solomonzelman):
Can I assume that your triangle is 45-45-90 ?
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OpenStudy (perl):
you dont have to assume it
OpenStudy (perl):
there is a right angle, and its isosceles. so it *has* to be 45 45 90
OpenStudy (solomonzelman):
But I only have 2 sides.
Unless "3" is the area of the triangle
OpenStudy (perl):
you can visibly see the right angle
OpenStudy (perl):
there is a tick mark
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OpenStudy (solomonzelman):
I know
OpenStudy (perl):
|dw:1386595830457:dw|
OpenStudy (perl):
that means the other side must be 3, since the tick mark indicates congruence
OpenStudy (solomonzelman):
then, that's what I was asking if it is 45-45-90 or not.
OpenStudy (perl):
it must be 45 45 90 .
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OpenStudy (perl):
an isosceles triangle has two congruent (equal) base angles
OpenStudy (perl):
90 + x + x = 180
2x = 90
x = 45
OpenStudy (solomonzelman):
What I was/am confused about is that the question doesn't tell us that it's an isosceles.
OpenStudy (perl):
im just saying you dont need to assume it
OpenStudy (perl):
the tick mark *implies* it is isosceles
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OpenStudy (perl):
definition of isosceles triangle = two sides of triangle are congruent
and it is a right triangle (because of the visible corner square )
OpenStudy (highschoolmom2010):
it wants volume i fixed it
OpenStudy (perl):
ok so the volume of a prism is base area times height.
and what is the area of a triangle ?
OpenStudy (highschoolmom2010):
1/2base*height=Area of triangle
OpenStudy (perl):
correct. you can remember it this way. a triangle is half a rectangle
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OpenStudy (perl):
|dw:1386596113797:dw|