Given triangle \( X Y Z \) with \( m \angle X = 40 ^ { \circ } , m \angle Y = 80 ^ { \circ } \) , and \( X Y = 20 \) , which of the following choices is used to find the length of \( X Z \) ? \( \frac { \sin Z } { X Y } = \frac { \sin Y } { X Z } \) \( \frac { \sin Y } { X Y } = \frac { \sin X } { X Z } \) \( \frac { \sin X } { X Y } = \frac { \sin Y } { X Z } \) 

An equilateral triangle it's perimeter equals 27 cm , then it's side length is......

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

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 \( A D \).

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

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