A 30-60-90 triangle is a triangle whose angles of 30º, 60º, and 90º. The lengths of the sides of a 30-60-90 triangle are always in a fixed ratio. Suppose the short leg, opposite the 30º angle, has length x. Then the hypotenuse has length 2x, and the long leg, opposite the 60º degree angle, has length (sqrt 3)x. The sides of every 30-60-90 triangle will have this 1 : 2 : sqrt(3) ratio. (sqrt (3) means the square root of 3)
isosceles are 45-45-90
It is 30 because it's the highest common factor of 60 and 90
A 30-60-90 right triangle
30-60-90 and 45-45-90 triangles are not particularly useful for quadrantal angles because these angles (0°, 90°, 180°, and 270°) correspond to specific points on the unit circle where the sine or cosine values are straightforward (0, 1, -1). These points do not require the detailed relationships defined by the special triangles, as the values can be directly derived from the coordinates of the circle. Therefore, the unique properties of 30-60-90 and 45-45-90 triangles are unnecessary for determining the trigonometric values at these specific angles.
Special right triangles include the 45-45-90 triangle and the 30-60-90 triangle. In a 45-45-90 triangle, the legs are equal, and the hypotenuse is ( \sqrt{2} ) times the length of each leg. In a 30-60-90 triangle, the length of the hypotenuse is twice the length of the shorter leg, while the longer leg is ( \sqrt{3} ) times the length of the shorter leg. To solve problems involving these triangles, use these ratios to find unknown side lengths.
No because 30-60-90 triangles are right angle triangles
isosceles are 45-45-90
30-60-90 45-45-90
special triangles: 45-45-90 triangle and 30-60-90 triangle
It is 30 because it's the highest common factor of 60 and 90
That depends on what you want to 'do' to them. It helps to remember these two simple facts. They will solve most of the problems that involve a 30-60-90 triangle: -- The side opposite the 30 is (1/2 of the hypotenuse). -- The side opposite the 60 is (1/2 of the hypotenuse) times the sqrt(3) (or 31/2).
A 30, 60, 90 triangle is a right triangle. It's one of the most common triangles to use to learn about the Pythagorean theorem.
A 30-60-90 right triangle
90
30-60-90 and 45-45-90 triangles are not particularly useful for quadrantal angles because these angles (0°, 90°, 180°, and 270°) correspond to specific points on the unit circle where the sine or cosine values are straightforward (0, 1, -1). These points do not require the detailed relationships defined by the special triangles, as the values can be directly derived from the coordinates of the circle. Therefore, the unique properties of 30-60-90 and 45-45-90 triangles are unnecessary for determining the trigonometric values at these specific angles.
It is a triangle that has these 3 angles at its corners: 30, 60 and 90 degrees. This is one of the more common triangles as many designs are laid out at 30 degrees or 60 degrees.
No, they have the same angles but may vary in size.