Concept explainers
To find the height of the given triangular pyramid.
Answer to Problem 16PPS
Explanation of Solution
Given:
Volume (
Right angled triangular base:
Hypotenuse
Base
Formula used:
Volume of pyramid,
where
Pythagoras Theorem:
In right angle
Area of a triangle
Calculation:
Since the given pyramid is a Right angled triangular pyramid, so it has a right angled triangular base.
In right angle
So, by Pythagoras Theorem,
Now putting the values,
Now, by taking square root on both sides,
So, area of the base,
Now for the volume (
Now putting the values,
Conclusion:
Therefore, the height of the given triangular pyramid is
Chapter 12 Solutions
Geometry, Student Edition
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