What is the area of a triangle with sides of length 2, 4, and 5?

1 Answer
Mar 26, 2018

color(blue)("Area of the triangle " A_t = 3.8 " sq units"

Explanation:

"Given : " a = 2, b = 4, c = 5

![https://www.onlinemathlearning.com/http://area-triangle.html](https://useruploads.socratic.org/ad1HaSmRQkmT98jNRSEH_area%20of%20triangle.png)

Having known three sides, we can calculate the area of the triangle using the formula,

A_t = sqrt(s * (s-a) * (s-b) * (s-c))

where s is the semi-perimeter of the triangle and a,b,c are the sides.

s = (a + b + c) / 2 = (2 + 4 + 5) / 2 = 5.5

A_t = sqrt(5.5 * (5.5 - 2) * (5.5 - 4) * (5.5 - 5))

=> sqrt(5.5 * 3.5 * 1.5 * 0.5) ~~ 3.8 " sq units"