Theorem 6.4 and 6.5 | |
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Theorem 6.4- If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.
Theorem 6.5- If a line divides two sides of a triangle proportionally, then it is parallel to the third side.
AB and BE is 6. DC and EC is 5.
If line DE is parallel to line AB then AD/CD = BE/CE
If AD/CD = BE/CE then lines DE and AB are parallel.
Proof
S
If AD/CD = BE/CE then lines DE and AB are parallel.
Proof
S
Find AE
14/26=x/18+x
252 + 14x= 26x
252=12x
x=21
252 + 14x= 26x
252=12x
x=21