To find the orthocenter of ABC
Write and solve a problem using completing the square method.
1 answer:
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Volume (cube) = side × side × side
Volume (v) =
![{a}^{3} = 8000 {ft}^{3} \\ \sqrt[3]{ {a}^{3} } = \sqrt[3]{8000 {ft}^{3} } \\ a = 20ft](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B3%7D%20%20%3D%208000%20%7Bft%7D%5E%7B3%7D%20%20%5C%5C%20%20%5Csqrt%5B3%5D%7B%20%7Ba%7D%5E%7B3%7D%20%7D%20%20%3D%20%20%20%5Csqrt%5B3%5D%7B8000%20%7Bft%7D%5E%7B3%7D%20%7D%20%20%5C%5C%20a%20%3D%2020ft)
And you can check because 20 × 20 × 20 = 8000, bc 20 × 20 = 400, and 400 × 20 = 8000
Volume (v) =
And you can check because 20 × 20 × 20 = 8000, bc 20 × 20 = 400, and 400 × 20 = 8000
You have to evaluate the slopes of these lines. For line AB you have a slope of
For line CD you have a slope of
Because the slopes are equal and the two lines are not one and the same, they are parallel.
For line CD you have a slope of
Because the slopes are equal and the two lines are not one and the same, they are parallel.