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Mathematics 8 Online
OpenStudy (highschoolmom2010):

find the volume of the triangular prism.

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

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 ?

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

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 .

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

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

OpenStudy (perl):

|dw:1386596113797:dw|

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