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If the shaded are is the base. Height is 3 cm. As you see the side with 3 cm length is perpendicular to side with 4 cm length which is a side of the shaded base. So height is 3 cm.
seems to be 2 questions there
though the shaded area is not the 5,12,13 triangular face
@zarax I guess what they mean is right now the triangular face of 5, 12,13 is facing UP, if we put it facing DOWN, so it becomes the base of the pyramid, then the height of that POSITION, will be the "altitude" up to the vertex above of 90 degrees
then again, I dunno what the shaded area role is in the whole thing heheh
im sorry the second question, the true false one is the one i need help with i said false but i dont know how to justify that answer or even if its right.
well, @peoplesay1214 what's the volume for a pyramid?
the volume is 24 cm^3
well, I meant ... hmm. I meant equation wise :S
oh for a pyramid .... the formula?
so what does that mean could you find the volume of the pyramid using the shaded area ALONE?
I mean, it's so ambiguous
v=1/3(area of base)(height)
yes the shaded area as the base and the height as 3
right, so we know the height, "3", if we knew the "shaded area", that is the BASE, then we could use it in the formula, so I guess you can get the volume with it so, I gather that could justify a "true" to it
no.... the true false question is this: The height of the pyramid using the 5,12,13 base is 2.4cm is this a true or false statement?
ark, man that's .. different from what you posted... I see
yeah sorry thats what i meant to post with the diagram forget about the first question.
so as I was saying, notice the 5,12,13 triangular face, is UP right now, let's put it DOWN |dw:1378064884827:dw|
that is not the same drawing though
so what would be our "altitude" or height? well keep in mind that, the line as "altitude" coming from a 90 degrees angle like above will make 3 SIMILAR TRIANGLES http://www.mathwarehouse.com/geometry/similar/triangles/geometric-mean.php
the 2 smaller ones, are SIMILAR with the BIGGER one containing them, thus 3 similar triangles|dw:1378065412390:dw|
those would be the correspondence ratios for the SIMILAR triangles
in this case I'm only using the smallest one with the biggest the ratios will be the same had I used the middle-size one anyhow
so to get "x", or "altitude" or height, just solve for "x"
so x=2.4 cm therefore the statement is true