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The sides are in the ratio 1 : (1/2) : sqrt(3)/2, where sqrt denotes square root.

That these are the ratio of the sides of a right-angled triangle can be confirmed using Pythagoras' theorem:

1*1 = (1/2)*(1/2) + ( sqrt(3)/2 )*( sqrt(3) / 2 ) = ( 1/4 ) + ( 3/4 ) = 1

1/2 is the sine of 30 degrees.

sqrt(3)/2 is the sin of 60 degrees.

Remember this identity, it is very useful.

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Q: What are the measurements of a 30 60 90 triangle?
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Definition of the 30-60-right triangle theorem?

90


What is the perimeter of a 30 60 90 triangle if the hypotenuse is 3?

The perimeter of a 30-60-90 triangle if the hypotenuse is 3 is: 7.098


How do you know if it is a 30-60-90 triangle?

If the ratio of the three sides are 1:√(3):2, it's a 30-60-90 triangle


What is a 30 60 90 triangle?

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.


What is a 30-60-90 triangle?

its a triangle with one corner 30 degrees, one corner 60 degrees and one corner 90 degrees.


In a 30 60 90 triangle an angle LM is 4 what is angle LN?

A "30 60 90 triangle" has that weird name because those numbers are its three angles. It can't have any angle of "4". If a triangle has an angle of '4', then it's not a '30 60 90 triangle'.


What is a 30-60-90 right triangle?

in a 30-60-90 right triangle, a right angle is always 90 degrees, the smallest angle has a measure of 30 degrees, and the remaining angle measures 60 degrees.


What is 30-60-90 right triangle?

A 30-60-90 right triangle is one in which the three angles of the triangle 30, 60 and 90 degrees. The length of the sides of such a triangle have the ratio 1:2:square root of 3. The 1 is opposite the 30 degree angle, the 2 is opposite the 60 degree angle and the square root of 3 is opposite the 90 degree angle.


A 30 o-60 o-right triangle is half of what other kind of triangle?

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How is the lengtht of the hypotenuse in a 30-60-90 triangle related to the length of the shorter leg?

In a 30-60-90 triangle, the hypotenuse is double the length of the shorter leg.


A triangle that has angles that measure 30 60 90?

Is a right angled triangle.


Will a right triangle always have angle measurements of 30 60 and 90?

No. To be a "right" triangle, one angle has to be 90 degrees, but the other two angles can be anything as long as the measures of all three angles add up to 180 degrees. For example, you can have a 45 - 45 - 90 right triangle.