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How do you solve 30 60 90 triangles

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The Easy Guide to the 30-60-90 Triangle

a/c = sin (30°) = 1/2 so c = 2a. b/c = sin (60°) = √3/2 so b = c√3/2 = a√3. Also, if you know two sides of the triangle, you can find the third one from the Pythagorean theorem. However, the methods described above are more

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A Quick Guide to the 30-60-90 Triangle

Using the 30-60-90 Triangle Theorem, solve for the value of b and c. b = √3 (a) b = 6√3 units c = 2a c = 2 (6) c = 12 units Final Answer a = 5 units and b = 5√3 units a = 11√3 units and c = (22√3)/3 units b = 6√3 units and c = 12

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30-60-90 Triangle: Theorem, Properties & Formula

Because it is a special triangle, it also has side length values which are always in a consistent relationship with one another. The basic 30-60-90 triangle ratio is: Side opposite the 30° angle: x. Side opposite the 60° angle: x * √ 3. Side

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30-60-90 Triangle

Solution. This is a 30-60-90 triangle in which the side lengths are in the ratio of x: x√3:2x. Substitute x = 7m for the longer leg and the hypotenuse. ⇒ x √3 = 7√3. ⇒ 2x = 2 (7) =14. Hence, the other sides are 14m and 7√3m. Example 6. In a right

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30-60-90 Triangle

The ratio of the sides follow the 30-60-90 triangle ratio: 1 : 2 : √3 1 : 2 : 3. Short side (opposite the 30 30 degree angle) = x x. Hypotenuse (opposite the 90 90 degree angle) = 2x 2 x. Long side (opposite the 60 60 degree angle) = x√3 x 3.

30-60-90 Triangles

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