How do you find the area of a triangle without the height?

Triangles are very important shapes and must be learned in order to understand mathematics well. They are one of the most interesting shapes which have many interesting properties. Concepts of triangles and used in various fields related to science, engineering and architecture. In this blog, we will have a look into an interesting way to find the area of the triangles without the height.

Answer: We can find the area of the triangle using Heron's formula, without its height been given.

Let have a look at the explanation.

Explanation: 

Let us assume a triangle of sides a, b and c.

We will use Heron's Formula to find the area of the triangle.

Therefore, Area = √s(s - a)(s - b)(s - c) ⇒ Heron's Formula

Here, s is the semi-perimeter, which is equal to (a + b + c) / 2.

Hence, we can find the area of the triangle using Heron's formula, without its height been given.