8-5 Proportions in Triangles

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Presentation transcript:

8-5 Proportions in Triangles Wed, October 3

Agenda Warm Up 8-5 Notes Homework

Warm Up

Proof of Side-Splitter Theorem

Converse of side-splitter If a line intersects two sides of a triangle and divides those sides proportionally, then the line is parallel to the other side.

Example Solve for x

Find the value of x:

PROVING THE PYTHAGOREAN THM WITH ~ triangles The Pythagorean Theorem states that in a right triangle, a2 + b2 = c2 We can prove this theorem using similar triangles ABC, CBX, and ACX

PROVING THE PYTHAGOREAN THM WITH ~ triangles Since corresponding parts of similar triangles are proportional, or . And or _ or . Substituting a² for cx, we get c²=a²+b². Which is what we were trying to prove.

Homework Worksheet Study for Quiz!