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How to find a sloping edge of a rectangular based pyramid? The rectangular based has length 4.8m and width 3m and the height of the pyramid is 4m .

Question

How to find a sloping edge of a rectangular based pyramid? The rectangular based has length 4.8m and width 3m and the height of the pyramid is 4m .
How to find a sloping edge of a rectangular based pyramid? The rectangular based has length 4.8m and width 3m and the height of the pyramid is 4m .

Answers

#4.9m#

Explanation:

Determine the center point of the rectangular base:

#1/2# of #3m=1.5m#
#1/2# of #4.8m=2.4m#

The crossing point of the two lines= centre point of the rectangle.

This centre point is also the bottom of the perpendicular height of 4m given.

Draw a line from the corner of the rectangle to the centre of the rectangle.

So: In the horizontal right triangle= adjacent side=1.5m and opposite.side=2.4m

With Pythagoras:

#hypotenuse^2=1.5^2+2.4^2#

hypotenuse#=sqrt(1.5^2+2.4^2)#

hypotenuse#:.=sqrt(8.01#

hypotenuse#:.=2.83m# also adjacent side of vertical right angle triangle with
Opposite side given#=4m#

So: In the vertical right triangle the hypotenuse = slope of pyramid

#:.Slope^2=2.83^2+4^2#

#:.Slope^2=24.0089^2#

#:.slope=sqrt(24.0089)#

#:.4.9m# slope of the pyramid


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