Altitude is not a term that is generally used in mathematics.
The correspondent term used in geometry is high: we say the height of a triangle, not the altitude of a triangle. Altitude is a term used in physics and, mainly, in geography.
In geography, the altitude of a single earth point is the difference between the distance from the earth center of that point and the conventional sea level.
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Mathematics"mathematics" is a plural noun already, the subject is Mathematics!
The opposite to altitude is depth.
mathematics
there is no difference between Mathematics and Arithmetic because Arithmetic is a branch of mathematics. there is no difference between Mathematics and Arithmetic because Arithmetic is a branch of mathematics.
The altitude forms a right angle triangle with half the side length and one side as the hypotenuse. Using Pythagoras: (½side)² + altitude² = side² → altitude² = side² - ¼side² → altitude² = ¾side² → altitude = (√3)/2 × side → altitude = (√3)/2 × 6 = 3√3 ≈ 5.2