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What Is a 30-60-90 Triangle? 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. Because it is a special triangle, it also has side length values which are always in a consistent relationship with one another.
The sides of a 30-60-90 triangle are always in the ratio of 1:√3: 2. This is also known as the 30-60-90 triangle formula for sides y: y√3: 2y. Let us learn the derivation of this ratio in the 30-60-90 triangle proof section. This formula can be verified using the Pythagoras theorem.
With this 30 60 90 triangle calculator, you can solve the measurements of this special right triangle. Whether you're looking for the 30 60 90 triangle formulas for the hypotenuse, wondering about the 30 60 90 triangle ratio, or simply want to check what this triangle looks like, you've found the right website.
A 30-60-90 triangle is a special right triangle whose three angles are 30°, 60°, and 90°. The triangle is special because its side lengths are in the ratio of 1: √3: 2 (x: x√3: 2x for shorter side: longer side: hypotenuse).
What is a 30-60-90 triangle? Learn what properties make a 30-60-90 triangle special and use the 30-60-90 triangle ratio and theorem to solve example problems.
30 60 90 Triangle formula. Use 30-60-90 formulas to find any of the three sides of the triangle if you know the value of any of the side of the triangle. Check the formulas and example here.
A 30-60-90 triangle is a right triangle having angles of 30 degrees, 60 degrees, and 90 degrees. For a 30-60-90 triangle with hypotenuse of length a, the legs have lengths b = asin(60 degrees)=1/2asqrt(3) (1) c = asin(30 degrees)=1/2a, (2) and the area is A=1/2bc=1/8sqrt(3)a^2.
30-60-90 triangle. A 30-60-90 triangle is a right triangle having interior angles measuring 30°, 60°, and 90°. The figure below shows a 30-60-90 triangle example.
The 30 60 90 Triangle Theorem. A 30-60-90 triangle is a special right triangle that contains internal angles of 30, 60, and 90 degrees. Once we identify a triangle to be a 30 60 90 triangle, the values of all angles and sides can be quickly identified.
30-60-90 Theorem: If a triangle has angle measures \(30^{\circ}\), \(60^{\circ}\) and \(90^{\circ}\), then the sides are in the ratio \(x:x\sqrt{3}:2x\). The shorter leg is always x, the longer leg is always \(x\sqrt{3}\), and the hypotenuse is always \(2x\).