So, if our original problem asked to find c for a 45-45-90 triangle instead, our answer would be 4√2 (about 5.65). Step 1: Identify what kind of special right angle the figure is, if it is a 45-45-90 triangle or a 30-60-90.
![solving special right triangles solving special right triangles](https://img.yumpu.com/39891138/1/500x640/special-right-triangles.jpg)
![solving special right triangles solving special right triangles](https://ecdn.teacherspayteachers.com/thumbitem/Special-Right-Triangle-Solving-Map-and-Practice-4594979-1559038675/original-4594979-1.jpg)
If the measure of the non-hypotenuse sides is x, then the measure of the hypotenuse is √2 * x. Steps for Solving Special Right Triangles. The other special right triangle you should be familiar with before taking the ACT or SAT is the other one in the figure above: the 45-45-90 triangle. How do I find the missing sides in special right triangles using the 306090 rule This rule only works for right triangles whose other internal angles are. How simple was that? Pretty darn, if you ask us! By taking one look at the figure and doing one simple calculation, we solved the problem and shaved off precious time from our total test. So, in our original problem, the shortest side is 4, so we know that the hypotenuse is two times that: 8. If the shortest side-the side opposite the 30-degree angle-is x, then the measure of the other side is √3 * x, and the hypotenuse measures 2 x. In a 30-60-90 triangle, the sides follow the pattern in the figure above. This triangle, with angles of 30, 60, and 90 degrees, is a special kind of right triangle with specific properties you should be familiar with. However, there is another way we can approach this problem, one that can save us A LOT of time! since sin = opposite/hypotenuse, we know that c must be 8, and 4/8 = 0.5. Using our graphing calculator and SOH-CAH-TOA, we can enter sin(30) (making sure we’re in degree mode!), giving us a value of 0.5. Special Right Triangles Review Notes: Pythagorean Theorem: 8- 3- C 5- opposite Legs 12 -13 24. Our next hope could be to use our trigonometric functions. 3 Inverse Trig Functions and Solving Right Triangles 13.
![solving special right triangles solving special right triangles](https://www.dummies.com/wp-content/uploads/267543.image0.jpg)
However, with the measure of only one side, we can’t use this method to find c. Step 1: Identify what kind of special right angle the figure is, if it is a 45-45-90 triangle or a 30-60-90 triangle. Seeing a right triangle, your first instinct might be to try the Pythagorean theorem. Steps for Solving Special Right Triangles. In the figure to the left, what is the measure of c?