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# Special triangles in geometry

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# Special triangles in geometry

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1. 1. Special Triangles in Geometry
2. 2. What Makes a Triangle Special? <ul><li>Special triangles refer to triangles with one 90 degree angle </li></ul><ul><li>Triangles are all made of two legs and the hypotenuse which is always opposite the 90 degree angle </li></ul><ul><li>The great thing about special triangles is that the relationship between the sides is always constant for a given type of triangle </li></ul>
3. 3. Opposite the Angle? <ul><li>The opposite angle can be seen by drawing a line cutting through the angle to the other side of the triangle. </li></ul><ul><li>90 degree angles are noted by a small square </li></ul><ul><li>As seen here the opposite in this case is the hypotenuse also, but only because it is opposite of the 90 degree angle. </li></ul>
4. 4. 30-60-90 <ul><li>The 30-60-90 can easily be distinguished from the other special triangle by the three noticeably different angles. </li></ul><ul><li>There are two legs in the picture. The letter a notates the length of one leg and given this length, the length of the other leg is found by multiplying </li></ul><ul><li>Hypotenuse length is equal to </li></ul>
5. 5. 45-45-90 <ul><li>The other special triangle is a 45-45-90 and is easy to distinguish due to the equal side length of the two legs </li></ul><ul><li>Given a leg length of n, the other leg will be the same length and the hypotenuse will always be </li></ul>
6. 6. References <ul><li>Main Page Background http://www.desktopwallpaperhd.com/wallpapers/6/5498.jpg </li></ul><ul><li>30-60-90 Triangle http://upload.wikimedia.org/wikipedia/commons/4/45/30-60-90_triangle.jpg </li></ul><ul><li>45-45-90 Triangle http://www.onlinemathlearning.com/image-files/special-rt-triang-454590-1.gif </li></ul>
1. 1. Special Triangles in Geometry
2. 2. What Makes a Triangle Special? <ul><li>Special triangles refer to triangles with one 90 degree angle </li></ul><ul><li>Triangles are all made of two legs and the hypotenuse which is always opposite the 90 degree angle </li></ul><ul><li>The great thing about special triangles is that the relationship between the sides is always constant for a given type of triangle </li></ul>
3. 3. Opposite the Angle? <ul><li>The opposite angle can be seen by drawing a line cutting through the angle to the other side of the triangle. </li></ul><ul><li>90 degree angles are noted by a small square </li></ul><ul><li>As seen here the opposite in this case is the hypotenuse also, but only because it is opposite of the 90 degree angle. </li></ul>
4. 4. 30-60-90 <ul><li>The 30-60-90 can easily be distinguished from the other special triangle by the three noticeably different angles. </li></ul><ul><li>There are two legs in the picture. The letter a notates the length of one leg and given this length, the length of the other leg is found by multiplying </li></ul><ul><li>Hypotenuse length is equal to </li></ul>
5. 5. 45-45-90 <ul><li>The other special triangle is a 45-45-90 and is easy to distinguish due to the equal side length of the two legs </li></ul><ul><li>Given a leg length of n, the other leg will be the same length and the hypotenuse will always be </li></ul>
6. 6. References <ul><li>Main Page Background http://www.desktopwallpaperhd.com/wallpapers/6/5498.jpg </li></ul><ul><li>30-60-90 Triangle http://upload.wikimedia.org/wikipedia/commons/4/45/30-60-90_triangle.jpg </li></ul><ul><li>45-45-90 Triangle http://www.onlinemathlearning.com/image-files/special-rt-triang-454590-1.gif </li></ul>

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