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Mathematics 11 Online
OpenStudy (anonymous):

Can anyone help me with this really easy question?  

OpenStudy (jchick):

I can't seem to load the picture could you put it in text form and maybe do a screen shot?

OpenStudy (jchick):

Ok can you screen shot it?

OpenStudy (jchick):

Also what is the math subject?

OpenStudy (jchick):

Nice I can open that one don't know why the other one wouldn't work.

OpenStudy (tkhunny):

It's not clear to me that ADC is a right angle. Is it?

OpenStudy (jchick):

Yes it does seem that way I am sorry my computer is being so slow.

OpenStudy (tkhunny):

No, not ACD, but ADC. This information is NOT in your fist picture, but it IS in your second picture. So, \(\overline{AD}\) is an altitude of \(\triangle{ACB}\). Does that help?

OpenStudy (tkhunny):

I am helping. I am not giving. YOU must do more thinking and less panicking. We know something about the Altitude of a Right Triangle. It's length is the geometric mean between the two pieces of the Hypotenuse that it has defined. This can be stated a couple of ways, but most conveniently might be the ratio version: \(\dfrac{m\overline{AD}}{m\overline{BD}} = \dfrac{m\overline{DC}}{m\overline{AD}}\)

OpenStudy (tkhunny):

The task is to find the right facts and put them together for a solution. We are now dumping facts. Putting them together, yet?

OpenStudy (jchick):

AD is perpendicular to BC right?

OpenStudy (tkhunny):

Yes, it's in the second attachment, but not the first.

OpenStudy (jchick):

ADC and ADB are right angles.

OpenStudy (jchick):

What kind of theorems have you been studying?

OpenStudy (tkhunny):

It's not actually clear to me what is wanted. It feels like we are using the Pythagorean Theorem to prove the Pythagorean Theorem.

OpenStudy (jchick):

OpenStudy (jchick):

Have you used any of the geometric means theorems?

OpenStudy (jchick):

We'd need to have AB^2 + AC^2 on one side of the equation right?

OpenStudy (jchick):

So which can you eliminate?

OpenStudy (tkhunny):

You tell me. It requires thinking. It will not jump out and bite you.

OpenStudy (anonymous):

sorry i can't help you on this one. i haven't done math in a while so i don't exactly remember the best way to work out this problem.

OpenStudy (jchick):

So we know it will be C or D right

OpenStudy (jchick):

Using the theorems for the similar triangles we see here in the diagram lets see if we can get an equation that equals BC^2 something.

OpenStudy (jchick):

OpenStudy (jchick):

No think again. We are cross multiplying can we do something with those other two?

OpenStudy (imakeitrainmoney):

easy???

OpenStudy (jchick):

No you cannot eliminate the AC^2

OpenStudy (jchick):

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