30 60 90 triangle examples with answers. The picture below illustrates the general formula for the 30 60 90 triangle. Hypotenuse xx32x example 1. Some of the worksheets displayed are find the missing side leave your answers as 30 60 90 right triangles and algebra examples name period right triangles a b solving 306090 c solving 454590 unit 8 right triangles name per answer keys to special right triangles 30 60 90 triangle practice special right. How to prove that the ratios between the sides of a 30 60 90 triangle are 132.
The 30 60 90 special right triangle. Showing top 8 worksheets in the category 30 60 90 triangles. 30 60 90 when you work with 30o 60o 90o and 45o 45o 90o triangles you will need to keep straight which radical goes with which triangle. A right triangle with a 300 angle or 600 angle must be a 300 600 900 special right triangle.
How to solve problems involving the 300 600 900 right triangle. In these lessons we will learn. The special right triangle called the 300 600 900 triangle. The student should sketch the triangle and place the ratio numbers.
Because it is a special triangle it also has side length values which are always in a consistent relationship with one another. They are special because of special relationships among the triangle legs that allow one to easily arrive at the length of the sides with exact answers instead of decimal approximations when using trig functions. A 30 60 90 triangle is a special right triangle a right triangle being any triangle that contains a 90 degree angle that always has degree angles of 30 degrees 60 degrees and 90 degrees. 30 60 90 triangles are classified as special right triangles.
Here are examples of how we take advantage of knowing those ratios. Find the length of the hypotenuse of a right triangle if the lengths of the other two sides are 4 inches and 4dadic3 inches. General formula specific examples. A 30 60 90 triangle is a special right triangle a right triangle being any triangle that contains a 90 degree angle that always has degree angles of 30 degrees 60 degrees and 90 degrees.