La distantaA tba essi e paAia A \( (4 ;-1) \) B \( (-2 ; 7) \)

Find the area of a parallelogram \( A B C D \) whose bese \( B C \) is 27 cm and altitude \( A E \) is 8 cm . If the lengh of the altitude \( A F \) to the base \( C D \) is 12 cm . Find \( C D \).

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

14. Find the radius of a hemisphere of volume \( 80 \mathrm{~cm}^{3} \)

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 \( A D \).

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