6.6 cm
7.44 - 7.45
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.
1/2 sqrt(3) = 0.866 (rounded)
The hypotenuse must be longer than the other other leg.
Use the rule that the shortest leg has length p, the other leg has length 2p and the hypotenuse has length p*sqrt(3) Where sqrt(number) if the square root of the number.
23
7.44 - 7.45
2.3
In a 30° 60° 90° triangle, the ratio (long leg)/hypotenuse = sqrt(3)/2 ~ 0.866The ratio (short leg)/hypotenuse = 1/2 = 0.5
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
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.
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.
2 Square Root 3 And 4
1/2 sqrt(3) = 0.866 (rounded)
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.
1/2 sqrt(3) = 0.866 (rounded)
The shortest leg is 3.72 m long.