Area of the triangle = 280 sq.cm
Base of the triangle = 14 cm
The height of the triangle.
Area of the triangle =
[tex] \large \green {\sf {\frac{1}{2} \times base \times height}} [/tex]
Area of the triangle =
[tex] \large \blue {\sf {\frac{1}{2} \times 14 \times height = 280 sq.cm}} [/tex]
Area of the triangle =
[tex] \large \red {\sf {7 \times height = 280 sq.cm}} [/tex]
Area of the triangle =
height = [tex] \large \purple {\sf {\frac {280}{7} = 40 \: cm }} [/tex]
Height of the triangle is 40 cm.