It is s*√3, easily proved using Pythagoras's theorem.
Yes, the Euclidean distance is the length of the hypotenuse of the right angled triangle whose other two vertices are at the two given points.
The length of the longest side of the triangle can be found by calculating the distance between the two furthest vertices. In this case, it is the distance between (-3,-2) and (-3,-7), which is 5 units. Therefore, the length of the longest side of the triangle is 5 units.
The transverse axis of a hyperbola is equal to the length of the red line segment, which represents the distance between the vertices. Therefore, the length of the transverse axis is 15. The length of the blue line segment is not relevant to this measurement.
In a hyperbola, the transverse axis is the distance between the vertices, while the red line segment typically represents the distance between the foci. Given that the length of the transverse axis is 8, the distance from the center to a vertex (a) is 4. For a hyperbola, the relationship between the semi-major axis (a), semi-minor axis (b), and distance to the foci (c) is given by (c^2 = a^2 + b^2). If the red line segment (12) represents the distance between the foci, then the blue line segment (distance to the foci from the center) would be 6, as half of 12 is 6.
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Not necessarily. The longest distance between two points in a triangle is the distance between the vertices that are farthest apart. This can be between any two vertices, not just those connected by the longest side of the triangle.
Yes, the Euclidean distance is the length of the hypotenuse of the right angled triangle whose other two vertices are at the two given points.
You must know something else. Like an angle. Or coordinates of the vertices on an x-y plane. And, of course the length of a side. If you know an angle, then you know them all, adjacent angles are supplementary. use law of cosines to find the length of a diagonal. 1/2 of the diagonal is the distance to the opposite vertices. Use law of cosines with the adjacent angle to find the length of the 2nd diagonal. 1/2 of this 2nd diagonal is the distance from the center to the other two vertices.
The length of the longest side of the triangle can be found by calculating the distance between the two furthest vertices. In this case, it is the distance between (-3,-2) and (-3,-7), which is 5 units. Therefore, the length of the longest side of the triangle is 5 units.
The transverse axis of a hyperbola is equal to the length of the red line segment, which represents the distance between the vertices. Therefore, the length of the transverse axis is 15. The length of the blue line segment is not relevant to this measurement.
To find the length of a line drawn between 2 vertices which are not next to each other, first draw a right triangle such that the line is the hypotenuse and the other two lines are drawn parallel to the x-axis and y-axis. Since the length of the other two lines are known, you can then calculate the hypotenuse to find the length of the line between the two vertices.
In a hyperbola, the transverse axis is the distance between the vertices, while the red line segment typically represents the distance between the foci. Given that the length of the transverse axis is 8, the distance from the center to a vertex (a) is 4. For a hyperbola, the relationship between the semi-major axis (a), semi-minor axis (b), and distance to the foci (c) is given by (c^2 = a^2 + b^2). If the red line segment (12) represents the distance between the foci, then the blue line segment (distance to the foci from the center) would be 6, as half of 12 is 6.
The length of the latus rectum of a hyperbola is given by the formula ( \frac{2b^2}{a} ), where ( a ) is the distance from the center to the vertices and ( b ) is the distance from the center to the co-vertices. This length represents the width of the hyperbola at the points where it intersects the corresponding directrices. For hyperbolas oriented along the x-axis or y-axis, this formula applies similarly, with the values of ( a ) and ( b ) depending on the specific equation of the hyperbola.
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The lens focal length formula used to calculate the focal length of a camera lens is: Focal Length (Distance between lens and image sensor) / (1 (Distance between lens and object) / (Distance between lens and object))
length
distance