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These right triangles are similar. We are going to split them apart and write ratios relating corresponding sides. There are three right triangles below: The red triangle is the small one and is labeled (I) The green triangle is the medium one and is labeled (II) The blue triangle is the large one and is labeled (III) Similar Right Triangles Similar Right Triangles Short cuts!! Putting the triangles back together, we now have 3 short equationsto relate the sides to these three right tringles. We no longer needto set up ratios. (YAY!) Of course, we also have Pythagorean's theorem. The big triangleis the most common one to use this on. Similar Right Triangles a2 + b2 = c2 Solve for the indicated variable. Similar Right Triangles Answer: Pythagorean'sa2 + b2 = c2h2 + y2 = b2x2 + h2 = a2 Solve for the indicated variable. Similar Right Triangles Answer: Pythagorean'sa2 + b2 = c2h2 + y2 = b2x2 + h2 = a2 Solve for the indicated variable. Similar Right Triangles Answer: Pythagorean'sa2 + b2 = c2h2 + y2 = b2x2 + h2 = a2 Solve for the indicated variable. Similar Right Triangles Answer: Pythagorean'sa2 + b2 = c2h2 + y2 = b2x2 + h2 = a2 Solve for the indicated variable. Similar Right Triangles Answer: Pythagorean'sa2 + b2 = c2h2 + y2 = b2x2 + h2 = a2 Solve for the indicated variable. Similar Right Triangles Answer: Pythagorean'sa2 + b2 = c2h2 + y2 = b2x2 + h2 = a2 Solve for the indicated variable. Similar Right Triangles Answer: Pythagorean'sa2 + b2 = c2h2 + y2 = b2x2 + h2 = a2 Solve for the indicated variable. Similar Right Triangles Answer: Pythagorean'sa2 + b2 = c2h2 + y2 = b2x2 + h2 = a2 Solve for the indicated variable. Similar Right Triangles Answer: Pythagorean'sa2 + b2 = c2h2 + y2 = b2x2 + h2 = a2 Solve for the indicated variable. Similar Right Triangles Answer: Pythagorean'sa2 + b2 = c2h2 + y2 = b2x2 + h2 = a2 Solve for the indicated variable. Similar Right Triangles Answer: Pythagorean'sa2 + b2 = c2h2 + y2 = b2x2 + h2 = a2 Solve for the indicated variable. Similar Right Triangles Answer: Pythagorean'sa2 + b2 = c2h2 + y2 = b2x2 + h2 = a2 Solve for the indicated variable. Similar Right Triangles Answer: Pythagorean'sa2 + b2 = c2h2 + y2 = b2x2 + h2 = a2 Solve for the indicated variable. Similar Right Triangles Answer: Pythagorean'sa2 + b2 = c2h2 + y2 = b2x2 + h2 = a2 Solve for the indicated variable. Similar Right Triangles Answer: Pythagorean'sa2 + b2 = c2h2 + y2 = b2x2 + h2 = a2 |