Question

The area of a triangle is given by the formula A=1/2bh. Solve this equation for the height, h, in terms of the base, b, and area, A.

Answer 1

The equation for the height, h, in terms of the base, b, and area, A is
`h = (2A)/(b)`

Solution:

Given that area of a triangle is given by the formula:

`A = (1)/(2)bh`

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:

`A = (1)/(2)bh`

Keep "h" alone in L.H.S and move the other terms to other side of formula

`A = (bh)/(2)\\\\2A = bh\\\\h = (2A)/(b)`

Thus height is expressed in terms of base and area