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nukeman
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Homework Statement
r/h = 4/6
This turns into: r = 2h/3
How, can someone please refresh me? I am doing a related rates problem, and I for this! :(
nukeman said:Homework Statement
r/h = 4/6
This turns into: r = 2h/3
How, can someone please refresh me? I am doing a related rates problem, and I for this! :(
Homework Equations
The Attempt at a Solution
And if this assumption by us is incorrect, then you are going to have a very difficult time in calculus.HallsofIvy said:If you are doing things involving "related rates" and Calculus, I think we have right to assume that you can do arithmetic! 4/6= (2*2)/(2*3)= 2/3!
Similar triangles are two triangles that have the same shape, but not necessarily the same size. This means that their corresponding angles are equal and their corresponding sides are in proportion.
If two triangles have the same angles, then they are similar. This can be determined by comparing the corresponding angles, using angle-angle similarity theorem, or by using side-side-side or side-angle-side similarity postulates.
The ratio of corresponding sides in similar triangles is equal. This means that if two triangles are similar, then the ratio of any two corresponding sides will be the same.
In similar triangles, the corresponding sides are in proportion. This means that if one side is multiplied by a certain number, the other side must also be multiplied by that same number to maintain the proportion. In this case, since 4/6 is equivalent to 2/3, if we multiply the second triangle's corresponding side by h, we must also multiply the first triangle's corresponding side by 2, resulting in 2h/3.
Similar triangles are used in various fields such as architecture, engineering, and physics. They can be used to determine the height of buildings, the distance between two objects, and the size of objects that are too far away to measure directly. They are also used in map making and navigation to create accurate scale models.