Remembering the 30 60 90 triangle rules is a matter of remembering the ratio of 1. It is right triangle whose angles are 300 600 and 900. Now in every 300 600 900 triangle the sides are in the ratio 1.
theorem 30 60 90 triangle rules
A 30 60 90 right triangle is a special right triangle in which one angle measures 30 degrees and the other 60 degrees.
Theorem 30 60 90 triangle rules. Scroll down the page for more. Right triangles are one particular group of triangles and one specific kind of right triangle is a 30 60 90 right triangle. There are many types of triangles. When to use 30 60 90 triangle rules.
Luckily for us we can prove 30 60 90 triangle rules true without all ofthis. When we say special it means the sides and angles which are predictable and consistent. The lengths of the sides of a 300 600 900 triangle are in the ratio of 132. Whenever we know the ratios of the sides we can solve the triangle by the method of similar figures.
300 600 900 triangles the 300 600 900 triangle is one example of a special right triangle. Acute obtuse isosceles equilateral triangles. What is a 30 60 90. The most frequently studied right triangles the special right triangles are the 306090 triangles followed by the 45 45 90 triangles.
Out of these different triangles few of them are special. The key characteristic of a 30 60 90 right triangle is that its angles have measures of 30 degrees p6 rads 60 degrees p3 rads and 90 degrees p2 rads. The 30 60 90 degree triangle is in the shape of half an equilateral triangle cut straight down the middle along its altitude. It has angles of 300 600 and 900.
As the name suggests the three angles in the triangle are 30 60 and. Although all right triangles have special features trigonometric functions and the pythagorean theorem. As shown on the right. Out of all the other shortcuts 30 60 90 is indeed a special triangle.
30 60 90 triangle rules and properties. Knowing your 30 60 90 triangle rules will be able to save you time and energy on a multitude of different math problems namely a wide variety of geometry and trigonometry problems. 2 and knowing that the shortest side length is always opposite the shortest angle 300 and the longest side length is always opposite the largest angle 900. Thirty sixty ninety triangle.
The most important rule to remember is that this special right triangle has one right angle and its sides are in an easy to remember consistent relationship with one another the ratio is a. The sides of a 30 60 90 right triangle lie in the ratio 132. The following diagram shows a 30 60 90 triangle and the ratio of the sides.
