Question

How do you find the base of a triangle when you're only given the area? PLS HELP

Answer 1

When area is given, only possible values of base of triangle can be found

Solution:

Given that, we have to find the base of triangle when we are only given the area

The area of triangle is given as:

`Area\ of\ triangle = (1)/(2) * base * height`

The area of triangle using heron formula is:

`Area = √(s(s-a)(s-b)(s-c))`

Where, "s" is half of perimeter

a, b, c are length of sides of triangle

From above two formulas, if only value of area is given, we cannot find the base of triangle

We need the value of height to find the base of triangle

With value of area alone, we cannot find the base of triangle. Possible values can be found for base

Suppose , area = 100 square units, then,

`100 = (1)/(2) * base * height\\\\200 = base * height`

Thus, possible values can be found like:

base = 10 and height = 20

base = 4 and height = 50

Thus, when area is given, only possible values of base of triangle can be found