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Mathematics 8 Online
OpenStudy (anonymous):

Which statement best compares a square and a rhombus? B, right?

OpenStudy (anonymous):

A rhombus has all angles equal to 90° but a square has opposite angles equal. A rhombus has diagonals which are unequal but a square has diagonals which are equal. A rhombus has equal diagonals but a square has unequal diagonals. A rhombus has non perpendicular diagonals but a square has perpendicular diagonal.

OpenStudy (anonymous):

The first one is definitely not, a rhombus's angles are not all 90° The last one is wrong, because a rhombus has perpendicular diagonals. The third one is wrong, because a square certainly has equal diagonals. So yes, it is B. Just think over the properties of a rhombus and square

OpenStudy (anonymous):

Yay! Thanks!

OpenStudy (anonymous):

@apple_pi can you help me with one more?

OpenStudy (anonymous):

Sure...

OpenStudy (anonymous):

When an altitude is drawn to the hypotenuse of a right triangle, the lengths of the segments of the hypotenuse are 16 and 25. What is the length of the altitude?

OpenStudy (anonymous):

Ahh, let me draw

OpenStudy (anonymous):

I know what an altitude is, but this one I just don't get at all...

OpenStudy (anonymous):

Ok, so like this?

OpenStudy (anonymous):

yes... how did you do that?

OpenStudy (anonymous):

Adobe Illustrator

OpenStudy (anonymous):

and AD is the altitude right?

OpenStudy (anonymous):

Yep

OpenStudy (anonymous):

Ahhhh I used that program a lot... now it's photoshop, flash, and premiere pro for me haha... anyways.......

OpenStudy (anonymous):

Do you get that AD splits ∆ABC into two similar triangles which are similar to the large triangle?

OpenStudy (anonymous):

yeah

OpenStudy (anonymous):

Wait, i'm thinking

OpenStudy (anonymous):

k

OpenStudy (anonymous):

Ok, so then AB/BC = BD/AD right?

OpenStudy (anonymous):

So then AB/41 = 25/AD

OpenStudy (anonymous):

okay

OpenStudy (anonymous):

Similarly, AC/BC = DC/AD right?

OpenStudy (anonymous):

AC/41 = 16/AD

OpenStudy (anonymous):

right

OpenStudy (anonymous):

now make AD the subject in both of these

OpenStudy (anonymous):

how?

OpenStudy (anonymous):

for the first one, AD = 16*41/AC

OpenStudy (anonymous):

okay

OpenStudy (anonymous):

hmm, I just lost it

OpenStudy (anonymous):

@lgbasallote any idea?

OpenStudy (anonymous):

@Callisto ?

OpenStudy (anonymous):

Am I on the right track here?

OpenStudy (callisto):

Blah... @Sunshine447 Post close the question and start a new post for a new question. Thanks!

OpenStudy (anonymous):

k

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