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# 8 4 Special Rt Triangles

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### 8 4 Special Rt Triangles

1. 1. 8-4 Special Right Triangles
2. 2. Special Right Triangles <ul><li>45-45-90 Theorem </li></ul><ul><ul><li>In a 45º - 45º - 90º triangle, the hypotenuse is  2 times as long as each leg </li></ul></ul>x x x √2
3. 3. <ul><li>Example </li></ul><ul><ul><li>Find x </li></ul></ul>3 3 x 45º Special Right Triangles
4. 4. <ul><li>Example </li></ul><ul><ul><li>Find x </li></ul></ul>x x 5 45º Special Right Triangles
5. 5. Special Right Triangles <ul><li>30-60-90 Theorem </li></ul><ul><ul><li>In a 30º - 60º - 90º triangle, the hypotenuse is twice as long as the shorter leg, and the longer leg is  3 times as long as the shorter leg. </li></ul></ul>60 º 30 º 2x x x √3
6. 6. <ul><li>Example </li></ul><ul><ul><li>Find s,t </li></ul></ul>s 5 t 60º Special Right Triangles
7. 7. <ul><li>SPICSA 302 1-20 all </li></ul>Special Right Triangles