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    The base of a right pyramid is a square with diagonal 16 units. Its slant edge is 17 units. What is its vertical height?
    Question

    The base of a right pyramid is a square with diagonal 16 units. Its slant edge is 17 units. What is its vertical height?

    A.

    12

    B.

    15

    C.

    30

    D.

    25

    Correct option is B

    Given:
    The base of a right pyramid is a square.
    Diagonal of the base = 16 unit.

    slant edge =17

    Formula Used:

    a ,b and c are sides of right angle triangle where c is opposite to right angel.

    a+b2= c2

    Concept Used:
    The point where the diagonals of square intersect each other is the midpoint of both the diagonals, effectively bisecting each other.

    Solution:

    In right angle triangle 

    perpendicular = vertical height 

    Hypotenuse= slant edge =17

    base = half of diagonal 

    So, according to right angle triangle

    172​ =82 +( vertical height )2

    289-64 =( vertical height )2

    vertical height = 15

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