Answer:
AB = AC = 6 cm
AD = 6*2 = 12 cm
Step-by-step explanation:
Solution:-
- A small sketch of a right angle triangular base pyramid could help use visualize the right angle triangle base ( A B C )
Where Length,
AB = AC = x
AD = 2*AB = 2x
Where, The point D directly above A.
- The volum ( V ) of a pyramid is given by:
V = [ Base Area * h ] / 3
- Where, Base Area : The area of triangle ABC
h : The total height of the pyramid, AD
- The base area of the triangular base ( A B C ) is given by:
Base area = 0.5*AB*AC
= 0.5*x*x
= 0.5x^2
- The height of the pyramid, AD = 2*AB = 2*x
- Compute the value of x, for the given volume V = 72 cm^3:
3*V = 0.5x^2* 2x
3*72 = x^3
216 = x^3
x = 6 cm
