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Mathematics 7 Online
OpenStudy (anonymous):

Help with triangles.... See image

OpenStudy (anonymous):

OpenStudy (danjs):

ok, so those are midpoints

OpenStudy (danjs):

|dw:1419312696342:dw|

OpenStudy (danjs):

A-B-D-E-A is the path

OpenStudy (danjs):

1.7 + BD + 1.5 + 4 = Total Distance

OpenStudy (anonymous):

Ok I'm following.

OpenStudy (danjs):

Since BD and AE are parallel, the two triangles are similar

OpenStudy (danjs):

BD will be half of AE

OpenStudy (danjs):

Lookat is like, AC is the transversal, and it crosses parallel lines AE and BD

OpenStudy (danjs):

corresponding angles are equal

OpenStudy (danjs):

applying those rules, you can prove that the two triangles are similar

OpenStudy (danjs):

|dw:1419313027381:dw|

OpenStudy (danjs):

BD = 2

OpenStudy (mathstudent55):

Theorem: The segment connecting the midpoints of two sides of a triangle is parallel to and half the length of the third side.

OpenStudy (danjs):

TOTAL = 1.7 + 1.5 + 4 + 2

OpenStudy (danjs):

Yeah, that theorem is found by similar triangles right Math?

OpenStudy (anonymous):

Awesome I got it thanks so much!

OpenStudy (mathstudent55):

Yes.

OpenStudy (danjs):

yw

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