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