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What is the 30 degree-60 degree right triangle theorem?

90


Is a hypotenuse short?

It may be of any length but it is always the longest side in a right-angled triangle.


Find the missing length for a right triangle where the short side is 9 cm and the hypotenuse is 30cm?

The length of the other side is: 28.6 cm


What is the length of the hypothesis when the long leg equals 11?

A hypothesis is a theory. It can be as long or as short as you like. In the context of a right angled triangle, the side opposite the right angle is called the hypotenuse. However, there is not enough information to answer the question.


How do you solve 30 60 90 triangles?

A 30-60-90 triangle is a triangle whose angles of 30º, 60º, and 90º. The lengths of the sides of a 30-60-90 triangle are always in a fixed ratio. Suppose the short leg, opposite the 30º angle, has length x. Then the hypotenuse has length 2x, and the long leg, opposite the 60º degree angle, has length (sqrt 3)x. The sides of every 30-60-90 triangle will have this 1 : 2 : sqrt(3) ratio. (sqrt (3) means the square root of 3)


What shape has all sides a different length and only one right angle and no obtuse angles?

A right triangle fits. One 90 degree angle, 2 acute angles, and you can make the sides as long or short as your heart desires.


The hypotenuse of a 30 60 90 triangle has a length of 17 What is the length of the side opposite the 60 angle?

I know that the side lengths of a 30 60 90 triangle have a relationship. Opposite from the 30 degree angle is the smallest side of the triangle, since a small angle can only hold a small side. Opposite from the 90 degree angle is the longest side since 90 is the largest of the angles. This side is also called the hyponteneuse. Across from the 60 degree angle, the medium-sized angle, is the medium side. The relationship between the sides of this special right triangle is short side = x big side or hypoteneuse = 2x (in other words, twice as long as the short side) medium side = x times the square root of 3 (or about 1.7 times as long as the short side) So if the hypoteneuse is 17 units long, the short side is half as long or 8.5 units. The medium side is 8.5 x sqrt3 or about 14.72 units long.


A squared plus 2a squared equals c squared?

A squared plus B squared equals C squared. It is the Pythagorean theorem.To do this you would find the two short sides of a right triangle. Then for one short side find the length and multiply it by itself and for the other short side do the same thing. After that add those two up and and find the square root of it. That number you have there is C aka hypotenuse aka the long side. :)


If a triangle has side lengths a b and c and if a2 plus b2 equals c2 then the says that the triangle is a right triangle?

no because even if a2 and b2 both add up to c2, it doesnt mean that they are the same length. one could be long and the other short but still add up to c2. a2 and c2 have to be equal to be a right angle. (apex) converse to the Pythagorean theorem


The Square Root Of 3?

is considered to be the length of the long leg in a 30-60-90 triangle (assuming length of short leg is 1 and length of hyp is 2... A simple triangle that I use often for machine setups and really easy to remember... 1, 2, sq rt of 3


What could be the ratio of the length of of the longer leg of a 30 60 90 triangle to the length of its hypotenuse?

In a 30° 60° 90° triangle, the ratio (long leg)/hypotenuse = sqrt(3)/2 ~ 0.866The ratio (short leg)/hypotenuse = 1/2 = 0.5


What is the length of the altitude of an equilateral triangle whose side has a length of four?

The altitude/height of an equilateral triangle can be calculated by taking the perpendicular bisector of any side. This line will bisect its opposite angle forming two congruent right angled triangles. The side length of the original equilateral triangle is the hypotenuse and the short leg of right angled triangle is half the hypotenuse. By Pythagoras' Theorem : 42 = 22 + L2.........where L is the length of the altitude. L2 = 42 - 22 = 16 - 4 = 12 L = √12 = 2√3 = 3.464 (3dp)