Let the base of the triangle be b. Let the height (altitude) be h. Then the area (A) of that triangle varies as :
A ∝ 1/bh
A ∝ bh
A ∝ 2bh
A ∝ b/h
This is a joint variation.
The area of a triangle depends upon both the base and the height.
Therefore, A ∝ bh
The base and the height of a triangle are in the ratio 4 : 5. If the area of the triangle is 40 m2; find its base and height.
Let base be 4x m and height be 5x m.
∴12×4x×5x=40.