The equation for the height, h, in terms of the base, b, and area, A is [tex]h = \frac{2A}{b}[/tex]
Solution:
Given that area of a triangle is given by the formula:
[tex]A = \frac{1}{2}bh[/tex]
Where,
A is the area of triangle
b is the base of triangle
h is the height of triangle
We have to find the equation for height in terms of base and area
So we have to arrange the equation in such a way that height can be found by using area and base
Given formula is:
[tex]A = \frac{1}{2}bh[/tex]
Keep "h" alone in L.H.S and move the other terms to other side of formula
[tex]A = \frac{bh}{2}\\\\2A = bh\\\\h = \frac{2A}{b}[/tex]
Thus height is expressed in terms of base and area
