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Mathematics 10 Online
OpenStudy (fuzzybird):

Help with angles/similar figures please! I will Fan & medal!

OpenStudy (fuzzybird):

OpenStudy (fuzzybird):

The one above this comment is an angle I need help with and the one below is similar figures.

OpenStudy (mrnood):

this one is not about angles it tells you the triangles are congruent - this means that one of them is simple 'scaled up version of the other look at sides AC and XZ tell mee what the multiplying (scale) factor is between them (what do you need to mulktiply 6 by to get 15?)

OpenStudy (mrnood):

what is the question for the second one?

OpenStudy (fuzzybird):

the second one is tell if they are similar or not

OpenStudy (fuzzybird):

for your first comment, 6 x 2.5 = 15 if that's what your asking

OpenStudy (mrnood):

Sorry - my first comment was incorrect - the triangles are 'similar' NOT congruent. But the rest of my reply is correct look at sides AC and XZ OK so ALL the side have the same scale factor So compare AB and XY and apply the same scale factor

OpenStudy (mrnood):

In similar triangles ALL the angles are the same that answers the second one for you

OpenStudy (fuzzybird):

3.25.. so is N 3.25 or 2.5?

OpenStudy (mrnood):

No - when you worked out the ratio above you found it was 2.5 so the larger triangle has sides 2.5 times bigger than the smaller one So compare AB and XY and apply the same scale factor

OpenStudy (fuzzybird):

what do you mean by 'apply the scale factor?' are you saying multiply 3.25 by 10?

OpenStudy (mrnood):

the top of the diagram tells you the triangles are similar (that's what the ~ means) Similar triangle have the same shape (i.e. all the angles are the SAME) but may be different SIZES you found that ONE side of the triangle is multiplied by 2.5 to go from the smaller to the larger - but this is true for ALL the sides so AB is equivalent to XY and you know that AB is 10 so XY has to be 2.5 times bigger

OpenStudy (mrnood):

http://www.mathopenref.com/similartriangles.html go here for more explanation

OpenStudy (fuzzybird):

Thank you.

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