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Special Right Triangles and Theorems: 45-45-90 & 30-60-90

Discover the properties of 45-45-90 and 30-60-90 triangles. Learn about hypotenuse ratios, similarities, and applications in geometry.

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Special Right Triangles and Theorems: 45-45-90 & 30-60-90

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  1. Special Right Triangles Section 8-4

  2. 45 - 45 - 90 theorem • In a 45 - 45 - 90 triangle, the hypotenuse is radical 2 times as long as the side.

  3. 45 - 45 - 90 Triangle All other 45-45-90 triangles are similar to the triangle on the left. 1 1

  4. 30 -60 - 90 theorem • In a 30 60 90 triangle, the hypotenuse is twice as long as the shorter leg, and the longer leg is radical 3 times as long as the shorter leg.

  5. 30 - 60 - 90 Triangle All other 30-60-90 triangles are similar to the triangle on the left. 2 1

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