Triangle 30-60-90 Calculator

MATH CALCULATOR Triangle 30-60-90 Calculator Calculate the side lengths and angles of a 30-60-90 triangle with ease.
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What is the Triangle 30-60-90 Calculator & How does it work?
A 30-60-90 triangle is a special right triangle where the angles are 30°, 60°, and 90°. The sides of this triangle have a specific ratio: the side opposite the 30° angle (shortest side) is half the length of the hypotenuse, and the side opposite the 60° angle is (frac{sqrt{3}}{2}) times the hypotenuse.
a = frac{c}{2}
a = length of the side opposite 30°
c = length of the hypotenuse
Similarly, the side opposite the 60° angle (longer leg) can be calculated as (b = frac{sqrt{3}}{2}c), where b is the length of the side opposite 60°.
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Frequently Asked Questions
How do I find the length of the shortest side in a 30-60-90 triangle?
To find the shortest side (opposite the 30° angle), divide the hypotenuse by 2.
What is the ratio of sides in a 30-60-90 triangle?
The sides are in the ratio 1 : √3 : 2, where 1 is the shortest side, √3 is the longer leg, and 2 is the hypotenuse.
How do I calculate the length of the hypotenuse if I know the shorter side?
Multiply the length of the shorter side by 2 to get the hypotenuse.
What is the formula for the longer leg in a 30-60-90 triangle?
The longer leg (opposite the 60° angle) is calculated as √3/2 times the hypotenuse.
Can I use this calculator if I only know one side length?
Yes, you can input any known side length to find the other two sides of the triangle.
What are the angles in a 30-60-90 triangle?
The angles in a 30-60-90 triangle are always 30°, 60°, and 90°.
How does this calculator help with geometry problems?
This calculator simplifies solving geometry problems by quickly providing the lengths of all sides in a 30-60-90 triangle based on one known measurement.

Results are for informational purposes only and do not constitute professional advice.