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The ratio of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse?
Starting with an equilateral triangle of side 2, dropping a perpendicular from one vertex to the opposite base creates two equal right angled triangles with hypotenuse of length 2, base length 1 and height of length √(22 - 12) = √3 which is the longer leg of the 30-60-90 triangle.
Thus the ratio of longer_leg : hypotenuse is √3 : 2
What else can I help you with?
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
How do you find the length of the sides of a right triangle when you know the hypotenuse?
If it is a 45-45-90 triangle, then divide the hypotenuse by the square root of 2. If it is a 30-60-90 triangle, then the shorter leg would be the hypotenuse divided by 2. And the longer leg would be the the shorter leg multiplied by the square root of 3.
Can a leg of a right triangle be longer than the hypotenuse?
No.
What right triangle has legs of equal length?
A right-angled triangle can be an Isosceles Triangle, but NOT an equilateral triangle. An Isosceles triangle has two sides of equal length. They form the 90 degree (right angle). The hypotenuse is opposite the right angle, and is longer than the other two sides.
The hypotenuse of an isosceles right triangle is 9 feet longer than either of its legs. what the exact length of each side?
Each leg is 21.73 feet and the Hypotenuse is 30.73 feet. (0.73 feet is a whisker over 8¾ inches)
What is the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse?
23
A 30- 60- 90 triangle has a hypotenuse of length 8.6 What is the length of the longer of the two legs?
7.44 - 7.45
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
The length of the hypotenuse of a 30 -60 -90 triangle is 4 find the longer leg?
In a 30-60-90 triangle, the lengths of the sides are in the ratio 1:√3:2. The hypotenuse is twice the length of the shorter leg (1x), so if the hypotenuse is 4, the shorter leg is 2. The longer leg, which corresponds to √3, is then calculated as 2√3. Therefore, the length of the longer leg is approximately 3.46.
He length of the longer leg of a right triangle is 3ft more than three times the length of the shorter leg. The length of the hypotenuse is 4ft more than three times the length of the shorter leg. Fin?
The length of the longer leg of a right triangle is 3ftmore than three times the length of the shorter leg. The length of the hypotenuse is 4ftmore than three times the length of the shorter leg. Find the side lengths of the triangle.
What could be the ratio of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse?
2 Square Root 3 And 4
What is the ratio of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse?
1/2 sqrt(3) = 0.866 (rounded)
Why is the hypotenuse?
The hypotenuse is the longest side of a right triangle and is opposite the right angle. It is always longer than the other two sides of the triangle. This is because the length of the hypotenuse is determined by the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
What could the ratio of the length of the longer leg of a 30 60 90 triangle to the length of its hypotenuse?
1/2 sqrt(3) = 0.866 (rounded)
How do you find the length of the sides of a right triangle when you know the hypotenuse?
If it is a 45-45-90 triangle, then divide the hypotenuse by the square root of 2. If it is a 30-60-90 triangle, then the shorter leg would be the hypotenuse divided by 2. And the longer leg would be the the shorter leg multiplied by the square root of 3.
Can a leg of a right triangle be longer than the hypotenuse?
No.
A right triangle has a hypotenuse of 10 cm and one leg that measures 5 to the 3rd power what is the length to the other leg?
The hypotenuse must be longer than the other other leg.
