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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.
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.
One leg of a right triangle is 14 cm longer than the other legTe length of the hypotenuse is 26 cmWhat are the lengths of the legs?
21.9
What is the hypotenuse of a triangle is 10 feet long The longer of the two legs is two feet longer than the other Find the length of the shorter leg?
Short leg is 6 feet.
The length of one leg of a right triangle is 10ft and the length of the hypotenuse is 2 ft longer than the other leg What is the length of the hypotenuse and the other leg?
If the other leg has length X. Knowing the rule for triangles a^2+b^2=c^2 and that hypotenuse is x+2 10^2 + X^2 = (X+2)^2 you can solve to find X = 24 and the hypotenuse is 26.
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 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
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.
