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Mathematics 10 Online
OpenStudy (anonymous):

Geometry help x.x

OpenStudy (anonymous):

OpenStudy (mertsj):

Are the triangles similar?

OpenStudy (anonymous):

I'm not sure v.v

OpenStudy (mertsj):

Do the corresponding sides have the same ratios?

OpenStudy (anonymous):

@Isaiah.Feynman

OpenStudy (anonymous):

I have no clue on where to start..

OpenStudy (mertsj):

Do you know what a ratio is?

OpenStudy (anonymous):

I don't.. Could you give me some insight on it please? x.x

OpenStudy (mertsj):

A ratio is a fraction...a comparison of two numbers.

OpenStudy (mertsj):

What side corresponds to 8 in the little triangle?

OpenStudy (anonymous):

That would be 4

OpenStudy (anonymous):

side DF

OpenStudy (mertsj):

And what is the ratio of 8 to 4. That is, what is 8/4 ??

OpenStudy (radar):

It is important to note, that only one of the triangles is a right triangle.

OpenStudy (mertsj):

@ malehuman01 You have a new helper. Good for you. Too many cooks tend to confuse the student.

OpenStudy (anonymous):

2?

OpenStudy (radar):

I thought that tip would help you @Mertsj

OpenStudy (anonymous):

I can take all the help I can get it..

OpenStudy (radar):

The small triangle on the right is a right triangle it obeys pythagorean. There fore you know that the m<e +m<f = 90 degrees do you agree?

OpenStudy (anonymous):

I understand it's a right triangle but what do you mean with what follows up?

OpenStudy (radar):

The triangle on the left is not a right triangle because the long side is 384 for it to be a right triangle it needs to be 388, this means that the angle opposite is less than 90 which means m<B + m<C will be greater than 90, as there is only 180 degrees in a triangle.

OpenStudy (anonymous):

Thank you so much radar, I honestly really appreciate the help. But quick question, why must the right triangle have to be 388?

OpenStudy (radar):

For it to be a right triangle the long side squared must equal to the sum of the square of each leg. Other words 18^2 + 8^2 that means it must be 388 .......not 384!

OpenStudy (anonymous):

makes sense, thank you!

OpenStudy (radar):

You're welcome, \[2\sqrt{96}=384\]

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