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simeragrundy14
21.10.2020 •
Mathematics
Find $x$x . Square pyramid is shown with an altitude of 24 feet, drawn from the vertex to the base center, forming right angle. An apothem, labeled 10 feet is drawn from the base center to the midpoint of a base edge. Another altitude, labeled x is drawn from the vertex to the midpoint, forming right angle with the base edge. $x=$x= ft
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Ответ:
x = 26feet
Step-by-step explanation:
The three side length given forms a right angled triangle with the slant height of the pyramid labelled x.
Given
height of prism H = 24feet
Apothem a = 10feet
Required
Slant height x
Using the relationship according to Pythagoras theorem:
x² = H²+a²
Substitute the values
x² = 24²+10²
x² = 576+100
x² = 676
x = √676
x = 26
Hence the length labeled x is 26feet
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Explanation: