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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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Definition of the 30-60-right triangle theorem?
90
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.
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.
What the are three angle measures of a right triangle?
it varies. as long as one angle is 90, the other two have to be less than 90. all three angles added together must equal 180 degrees. you can have a triangle with 90 degrees and the other two are 45 degrees. one triangle can have angle measurements of 90, 60, 30. the angle measurements add up to 180. get meh?
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?
90
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.
