A stone pyramid in Egypt has a square base that measures 155 m on each side. The height is 96 m . What is the volume of the pyramid? Round your answer to the nearest tenth if necessary.

ABCD is a trapezoid where \( \overline{\mathrm{AB}} / / \overline{\mathrm{CD}}, \mathrm{A}(9,-2), \mathrm{B}(3,2) \) , \( \mathrm{C}(x,-x) \) and \( \mathrm{D}(4,-3) \) Find the coordinates of the point C

1. \( \triangle A B C \) is right angled at \( A \). \( A D \) is perpendicular to \( B C \). If \( A B=8 \mathrm{~cm}, B C=10 \mathrm{~cm} \) and \( A C=6 \mathrm{~cm} \). Find the area of \( \triangle A B C \). Also, find the length of \( A D \).

4] (a) If the points \( A(1,4), B(-1,-2) \) and \( C(2,-3) \) are vertices atriangle, prove that.. \( \triangle A B C \) is right angled at \( B \), and find its area

10. \( \triangle A B C \) is right angled at \( A \). \( A D \) is perpendicular to \( B C \). If \( A B=8 \mathrm{~cm}, B C=10 \mathrm{~cm} \) and \( A C=6 \mathrm{~cm} \). Find the area of \( \triangle A B C \). Also, find the length of \( A D \). 214

9. In the given figure \( D L \) and \( B M \) are the heights corresponding to sides \( A B \) and \( A D \) respectively of parallelogram \( A B C D \). If the area of parallelogram is \( 300 \mathrm{~cm}^{2}, A B=30 \mathrm{~cm} \) and \( A D=20 \mathrm{~cm} \). Find the length of \( B M \) and \( D L \).