In a straight straight quadrangular prism, the diagonal is 13m, its projection on the base plane
| September 21, 2021 | education
In a straight straight quadrangular prism, the diagonal is 13m, its projection on the base plane is 5m, Find the height of the prism
To solve this problem, let us denote a straight quadrangular prism as ABCDA1B1C1D1.
The diagonal of a prism, for example CB1, is 13 meters.
The projection onto the plane of the base is the segment D1B1, which by condition is equal to 5 meters.
The height of the prism is a segment CD
Consider a triangle СD1B1, in which the angle D1 is straight.
Then for Comrade Pythagoras:
СD1 ^ 2 = 13 ^ 2 – 5 ^ 2, where СD1 = 12 m.
The answer is: the height is 12 meters.
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