Question

This is the 3rd of 14.

Answer 1

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

Answer 2

The height is 4 cm and the base is 8 cm.