According to the concept of Pythagoras theorem, the value of VM is √114.
Pythagoras theorem:
According to the theorem, the sum of square of the sides of the right angled triangle is equal to the square of the hypotenuse of the triangle.
Given,
The square base ABCD has side lengths of 5 cm. Lengths VA, VB, VC, and VD are each 8 cm
Now, we have to use the pyramid and the given information to find the length of VM. M is the midpoint of the pyramid's square base
Let us consider M is the midpoint of the base and the base have the two triangle,
Then M be the hypotenuse of the triangle,
Therefore, the value of M is calculated as,
=> M = √5² + 5²
=> M = √50
So, the value of VM is calculated as,
=> VM = √8² + (√50)²
=> VM = √64 + 50
=> VM = √114
Therefore, the value of VM is √114.
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