Let the height of the triangle be x then the base becomes as 4+x now area of triangle in a plane surface is given by 1/2*base*height thus 1/2*(4+x)*x= 16 4x+x^2 = 32 x^2 +4x -32 = 0 x^2+8x-4x-32 x(x+8)-4(x+8) therefore x is equal to -8 or +4 hence it can't be in negative so it is +4 thus base becomes +8 the height is 4 cm and base is 8cm
