anonymous
  • anonymous
Find the volume using the shaded base. True or False... The height of the pyramid using the 5,12,13 base is 2.4 cm
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
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anonymous
  • anonymous
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.
jdoe0001
  • jdoe0001
seems to be 2 questions there

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jdoe0001
  • jdoe0001
though the shaded area is not the 5,12,13 triangular face
jdoe0001
  • jdoe0001
@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
jdoe0001
  • jdoe0001
then again, I dunno what the shaded area role is in the whole thing heheh
anonymous
  • anonymous
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.
jdoe0001
  • jdoe0001
well, @peoplesay1214 what's the volume for a pyramid?
anonymous
  • anonymous
the volume is 24 cm^3
jdoe0001
  • jdoe0001
well, I meant ... hmm. I meant equation wise :S
anonymous
  • anonymous
oh for a pyramid .... the formula?
jdoe0001
  • jdoe0001
right
jdoe0001
  • jdoe0001
so what does that mean could you find the volume of the pyramid using the shaded area ALONE?
anonymous
  • anonymous
v=1/3ah
jdoe0001
  • jdoe0001
I mean, it's so ambiguous
anonymous
  • anonymous
v=1/3(area of base)(height)
anonymous
  • anonymous
yes the shaded area as the base and the height as 3
jdoe0001
  • jdoe0001
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
anonymous
  • anonymous
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?
jdoe0001
  • jdoe0001
ark, man that's .. different from what you posted... I see
anonymous
  • anonymous
yeah sorry thats what i meant to post with the diagram forget about the first question.
jdoe0001
  • jdoe0001
so as I was saying, notice the 5,12,13 triangular face, is UP right now, let's put it DOWN |dw:1378064884827:dw|
anonymous
  • anonymous
that is not the same drawing though
jdoe0001
  • jdoe0001
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
jdoe0001
  • jdoe0001
|dw:1378065259617:dw|
jdoe0001
  • jdoe0001
the 2 smaller ones, are SIMILAR with the BIGGER one containing them, thus 3 similar triangles|dw:1378065412390:dw|
jdoe0001
  • jdoe0001
those would be the correspondence ratios for the SIMILAR triangles
jdoe0001
  • jdoe0001
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
jdoe0001
  • jdoe0001
so to get "x", or "altitude" or height, just solve for "x"
anonymous
  • anonymous
so x=2.4 cm therefore the statement is true

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